Discussion:
Add to n its odd digits and subtract its even ones
(too old to reply)
Eric A.
2006-12-04 11:58:29 UTC
Permalink
Hello,
could someone be so nice to compute for me two hundred more terms of
this sequence:
0,11,13,17,18,25,28,54,55,64,65...
Explanations can be found there:
http://www.cetteadressecomportecinquantesignes.com/134.htm
I'll mention yr name in Neil Sloane's OEIS if the sequence is accepted.

Thanks,
Éric A.
[crossposted to alt.math.recreational an hour ago]
[Jongware]
2006-12-04 12:57:06 UTC
Permalink
"Eric A." <***@kntv.be> wrote in message news:***@79g2000cws.googlegroups.com...
Hello,
could someone be so nice to compute for me two hundred more terms of
this sequence:
0,11,13,17,18,25,28,54,55,64,65...
Explanations can be found there:
http://www.cetteadressecomportecinquantesignes.com/134.htm
I'll mention yr name in Neil Sloane's OEIS if the sequence is accepted.

Thanks,
Éric A.
[crossposted to alt.math.recreational an hour ago]

Something like this? Took me 5 minutes to write (and at work, at that).
Glanced at the first 10 entries or so, looks allright to me.

0 -> 0 (1-loop)
1 -> 2 -> 0 (1-loop)
2 -> 0 (1-loop)
3 -> 6 -> 0 (1-loop)
4 -> 0 (1-loop)
5 -> 10 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 -> 11 (6-loop)
6 -> 0 (1-loop)
7 -> 14 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 -> 11 (6-loop)
8 -> 0 (1-loop)
9 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
10 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 -> 11 (6-loop)
11 -> 13 -> 17 -> 25 -> 28 -> 18 -> 11 -> 13 (6-loop)
12 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 -> 11 (6-loop)
13 -> 17 -> 25 -> 28 -> 18 -> 11 -> 13 -> 17 (6-loop)
14 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 -> 11 (6-loop)
15 -> 21 -> 20 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
16 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 -> 11 (6-loop)
17 -> 25 -> 28 -> 18 -> 11 -> 13 -> 17 -> 25 (6-loop)
18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 -> 11 (6-loop)
19 -> 29 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 ->
103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
20 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
21 -> 20 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
22 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
23 -> 24 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
24 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
25 -> 28 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 (6-loop)
26 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
27 -> 32 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 ->
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
28 -> 18 -> 11 -> 13 -> 17 -> 25 -> 28 -> 18 (6-loop)
29 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 ->
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
30 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 ->
115 -> 122 -> 119 -> 130 -> 134 (1-loop)
31 -> 35 -> 43 -> 42 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 ->
91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
32 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 ->
115 -> 122 -> 119 -> 130 -> 134 (1-loop)
33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 ->
122 -> 119 -> 130 -> 134 (1-loop)
34 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 ->
115 -> 122 -> 119 -> 130 -> 134 (1-loop)
35 -> 43 -> 42 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 ->
101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 ->
115 -> 122 -> 119 -> 130 -> 134 (1-loop)
37 -> 47 -> 50 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
38 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 ->
115 -> 122 -> 119 -> 130 -> 134 (1-loop)
39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 ->
119 -> 130 -> 134 (1-loop)
40 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 ->
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
41 -> 38 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 ->
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
42 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 ->
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
43 -> 42 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 ->
103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
44 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 ->
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
45 -> 46 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 ->
103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
46 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 ->
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
47 -> 50 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
48 -> 36 -> 33 -> 39 -> 51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 ->
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
49 -> 54 -> 55 -> 65 -> 64 -> 54 (4-loop)
50 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
51 -> 57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 ->
119 -> 130 -> 134 (1-loop)
52 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
53 -> 61 -> 56 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
54 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
55 -> 65 -> 64 -> 54 -> 55 -> 65 (4-loop)
56 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
57 -> 69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 ->
130 -> 134 (1-loop)
58 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
59 -> 73 -> 83 -> 78 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 ->
119 -> 130 -> 134 (1-loop)
60 -> 54 -> 55 -> 65 -> 64 -> 54 (4-loop)
61 -> 56 -> 55 -> 65 -> 64 -> 54 -> 55 (4-loop)
62 -> 54 -> 55 -> 65 -> 64 -> 54 (4-loop)
63 -> 60 -> 54 -> 55 -> 65 -> 64 -> 54 (4-loop)
64 -> 54 -> 55 -> 65 -> 64 -> 54 (4-loop)
65 -> 64 -> 54 -> 55 -> 65 -> 64 (4-loop)
66 -> 54 -> 55 -> 65 -> 64 -> 54 (4-loop)
67 -> 68 -> 54 -> 55 -> 65 -> 64 -> 54 (4-loop)
68 -> 54 -> 55 -> 65 -> 64 -> 54 (4-loop)
69 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
70 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
71 -> 79 -> 95 -> 109 -> 119 -> 130 -> 134 (1-loop)
72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
73 -> 83 -> 78 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 ->
130 -> 134 (1-loop)
74 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
75 -> 87 -> 86 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 ->
119 -> 130 -> 134 (1-loop)
76 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
78 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
79 -> 95 -> 109 -> 119 -> 130 -> 134 (1-loop)
80 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
81 -> 74 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
82 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
83 -> 78 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
84 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
85 -> 82 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 ->
130 -> 134 (1-loop)
86 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
87 -> 86 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 ->
130 -> 134 (1-loop)
88 -> 72 -> 77 -> 91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134
(1-loop)
89 -> 90 -> 99 -> 117 -> 126 -> 119 -> 130 -> 134 (1-loop)
90 -> 99 -> 117 -> 126 -> 119 -> 130 -> 134 (1-loop)
91 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
92 -> 99 -> 117 -> 126 -> 119 -> 130 -> 134 (1-loop)
93 -> 105 -> 111 -> 114 -> 112 (1-loop)
94 -> 99 -> 117 -> 126 -> 119 -> 130 -> 134 (1-loop)
95 -> 109 -> 119 -> 130 -> 134 (1-loop)
96 -> 99 -> 117 -> 126 -> 119 -> 130 -> 134 (1-loop)
97 -> 113 -> 118 -> 112 (1-loop)
98 -> 99 -> 117 -> 126 -> 119 -> 130 -> 134 (1-loop)
99 -> 117 -> 126 -> 119 -> 130 -> 134 (1-loop)
100 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
102 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
104 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
105 -> 111 -> 114 -> 112 (1-loop)
106 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
108 -> 101 -> 103 -> 107 -> 115 -> 122 -> 119 -> 130 -> 134 (1-loop)
109 -> 119 -> 130 -> 134 (1-loop)
110 -> 112 (1-loop)
111 -> 114 -> 112 (1-loop)
112 -> 112 (1-loop)
113 -> 118 -> 112 (1-loop)
114 -> 112 (1-loop)
115 -> 122 -> 119 -> 130 -> 134 (1-loop)
116 -> 112 (1-loop)
117 -> 126 -> 119 -> 130 -> 134 (1-loop)
118 -> 112 (1-loop)
119 -> 130 -> 134 (1-loop)
120 -> 119 -> 130 -> 134 (1-loop)
121 -> 121 (1-loop)
122 -> 119 -> 130 -> 134 (1-loop)
123 -> 125 -> 129 -> 137 -> 148 -> 137 (2-loop)
124 -> 119 -> 130 -> 134 (1-loop)
125 -> 129 -> 137 -> 148 -> 137 (2-loop)
126 -> 119 -> 130 -> 134 (1-loop)
127 -> 133 -> 140 -> 137 -> 148 -> 137 (2-loop)
128 -> 119 -> 130 -> 134 (1-loop)
129 -> 137 -> 148 -> 137 (2-loop)
130 -> 134 (1-loop)
131 -> 136 -> 134 (1-loop)
132 -> 134 (1-loop)
133 -> 140 -> 137 -> 148 -> 137 (2-loop)
134 -> 134 (1-loop)
135 -> 144 -> 137 -> 148 -> 137 (2-loop)
136 -> 134 (1-loop)
137 -> 148 -> 137 -> 148 (2-loop)
138 -> 134 (1-loop)
139 -> 152 -> 156 (1-loop)
140 -> 137 -> 148 -> 137 (2-loop)
141 -> 139 -> 152 -> 156 (1-loop)
142 -> 137 -> 148 -> 137 (2-loop)
143 -> 143 (1-loop)
144 -> 137 -> 148 -> 137 (2-loop)
145 -> 147 -> 151 -> 158 -> 156 (1-loop)
146 -> 137 -> 148 -> 137 (2-loop)
147 -> 151 -> 158 -> 156 (1-loop)
148 -> 137 -> 148 -> 137 (2-loop)
149 -> 155 -> 166 -> 155 (2-loop)
150 -> 156 (1-loop)
151 -> 158 -> 156 (1-loop)
152 -> 156 (1-loop)
153 -> 162 -> 155 -> 166 -> 155 (2-loop)
154 -> 156 (1-loop)
155 -> 166 -> 155 -> 166 (2-loop)
156 -> 156 (1-loop)
157 -> 170 -> 178 (1-loop)
158 -> 156 (1-loop)
159 -> 174 -> 178 (1-loop)
160 -> 155 -> 166 -> 155 (2-loop)
161 -> 157 -> 170 -> 178 (1-loop)
162 -> 155 -> 166 -> 155 (2-loop)
163 -> 161 -> 157 -> 170 -> 178 (1-loop)
164 -> 155 -> 166 -> 155 (2-loop)
165 -> 165 (1-loop)
166 -> 155 -> 166 -> 155 (2-loop)
167 -> 169 -> 173 -> 184 -> 173 (2-loop)
168 -> 155 -> 166 -> 155 (2-loop)
169 -> 173 -> 184 -> 173 (2-loop)
170 -> 178 (1-loop)
171 -> 180 -> 173 -> 184 -> 173 (2-loop)
172 -> 178 (1-loop)
173 -> 184 -> 173 -> 184 (2-loop)
174 -> 178 (1-loop)
175 -> 188 -> 173 -> 184 -> 173 (2-loop)
176 -> 178 (1-loop)
177 -> 192 -> 200 -> 198 -> 200 (2-loop)
178 -> 178 (1-loop)
179 -> 196 -> 200 -> 198 -> 200 (2-loop)
180 -> 173 -> 184 -> 173 (2-loop)
181 -> 175 -> 188 -> 173 -> 184 -> 173 (2-loop)
182 -> 173 -> 184 -> 173 (2-loop)
183 -> 179 -> 196 -> 200 -> 198 -> 200 (2-loop)
184 -> 173 -> 184 -> 173 (2-loop)
185 -> 183 -> 179 -> 196 -> 200 -> 198 -> 200 (2-loop)
186 -> 173 -> 184 -> 173 (2-loop)
187 -> 187 (1-loop)
188 -> 173 -> 184 -> 173 (2-loop)
189 -> 191 -> 202 -> 198 -> 200 -> 198 (2-loop)
190 -> 200 -> 198 -> 200 (2-loop)
191 -> 202 -> 198 -> 200 -> 198 (2-loop)
192 -> 200 -> 198 -> 200 (2-loop)
193 -> 206 -> 198 -> 200 -> 198 (2-loop)
194 -> 200 -> 198 -> 200 (2-loop)
195 -> 210 -> 209 -> 216 -> 209 (2-loop)
196 -> 200 -> 198 -> 200 (2-loop)
197 -> 214 -> 209 -> 216 -> 209 (2-loop)
198 -> 200 -> 198 -> 200 (2-loop)
199 -> 218 -> 209 -> 216 -> 209 (2-loop)
200 -> 198 -> 200 -> 198 (2-loop)
201 -> 200 -> 198 -> 200 (2-loop)
202 -> 198 -> 200 -> 198 (2-loop)
203 -> 204 -> 198 -> 200 -> 198 (2-loop)
204 -> 198 -> 200 -> 198 (2-loop)
205 -> 208 -> 198 -> 200 -> 198 (2-loop)
206 -> 198 -> 200 -> 198 (2-loop)
207 -> 212 -> 209 -> 216 -> 209 (2-loop)
208 -> 198 -> 200 -> 198 (2-loop)
209 -> 216 -> 209 -> 216 (2-loop)
210 -> 209 -> 216 -> 209 (2-loop)
211 -> 211 (1-loop)
212 -> 209 -> 216 -> 209 (2-loop)
213 -> 215 -> 219 -> 227 -> 230 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 ->
231 (6-loop)
214 -> 209 -> 216 -> 209 (2-loop)
215 -> 219 -> 227 -> 230 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231
(6-loop)
216 -> 209 -> 216 -> 209 (2-loop)
217 -> 223 -> 222 -> 216 -> 209 -> 216 (2-loop)
218 -> 209 -> 216 -> 209 (2-loop)
219 -> 227 -> 230 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
220 -> 216 -> 209 -> 216 (2-loop)
221 -> 218 -> 209 -> 216 -> 209 (2-loop)
222 -> 216 -> 209 -> 216 (2-loop)
223 -> 222 -> 216 -> 209 -> 216 (2-loop)
224 -> 216 -> 209 -> 216 (2-loop)
225 -> 226 -> 216 -> 209 -> 216 (2-loop)
226 -> 216 -> 209 -> 216 (2-loop)
227 -> 230 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
228 -> 216 -> 209 -> 216 (2-loop)
229 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 (6-loop)
230 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 -> 233 (6-loop)
232 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
233 -> 237 -> 245 -> 244 -> 234 -> 231 -> 233 -> 237 (6-loop)
234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
235 -> 241 -> 236 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
236 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
237 -> 245 -> 244 -> 234 -> 231 -> 233 -> 237 -> 245 (6-loop)
238 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
239 -> 249 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 ->
285 -> 280 -> 270 (4-loop)
240 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 (6-loop)
241 -> 236 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 -> 231 (6-loop)
242 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 (6-loop)
243 -> 240 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 (6-loop)
244 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 (6-loop)
245 -> 244 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 (6-loop)
246 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 (6-loop)
247 -> 248 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 (6-loop)
248 -> 234 -> 231 -> 233 -> 237 -> 245 -> 244 -> 234 (6-loop)
249 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 ->
280 -> 270 (4-loop)
250 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 ->
270 (4-loop)
251 -> 255 -> 263 -> 258 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 ->
275 -> 285 -> 280 -> 270 (4-loop)
252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 ->
270 (4-loop)
253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 -> 270
(4-loop)
254 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 ->
270 (4-loop)
255 -> 263 -> 258 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 ->
285 -> 280 -> 270 (4-loop)
256 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 ->
270 (4-loop)
257 -> 267 -> 266 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 ->
275 -> 285 -> 280 -> 270 (4-loop)
258 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 ->
270 (4-loop)
259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
260 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 ->
280 -> 270 (4-loop)
261 -> 254 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 ->
280 -> 270 (4-loop)
262 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 ->
280 -> 270 (4-loop)
263 -> 258 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 ->
280 -> 270 (4-loop)
264 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 ->
280 -> 270 (4-loop)
265 -> 262 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 ->
285 -> 280 -> 270 (4-loop)
266 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 ->
280 -> 270 (4-loop)
267 -> 266 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 ->
285 -> 280 -> 270 (4-loop)
268 -> 252 -> 253 -> 259 -> 271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 ->
280 -> 270 (4-loop)
269 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
270 -> 275 -> 285 -> 280 -> 270 -> 275 (4-loop)
271 -> 277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
272 -> 275 -> 285 -> 280 -> 270 -> 275 (4-loop)
273 -> 281 -> 272 -> 275 -> 285 -> 280 -> 270 -> 275 (4-loop)
274 -> 275 -> 285 -> 280 -> 270 -> 275 (4-loop)
275 -> 285 -> 280 -> 270 -> 275 -> 285 (4-loop)
276 -> 275 -> 285 -> 280 -> 270 -> 275 (4-loop)
277 -> 289 -> 288 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
278 -> 275 -> 285 -> 280 -> 270 -> 275 (4-loop)
279 -> 293 -> 303 -> 309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 ->
358 (1-loop)
280 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
281 -> 272 -> 275 -> 285 -> 280 -> 270 -> 275 (4-loop)
282 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
283 -> 276 -> 275 -> 285 -> 280 -> 270 -> 275 (4-loop)
284 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
285 -> 280 -> 270 -> 275 -> 285 -> 280 (4-loop)
286 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
287 -> 284 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
288 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
289 -> 288 -> 270 -> 275 -> 285 -> 280 -> 270 (4-loop)
290 -> 297 -> 311 -> 316 -> 314 (1-loop)
291 -> 299 -> 315 -> 324 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 ->
358 (1-loop)
292 -> 297 -> 311 -> 316 -> 314 (1-loop)
293 -> 303 -> 309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
294 -> 297 -> 311 -> 316 -> 314 (1-loop)
295 -> 307 -> 317 -> 328 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 ->
358 (1-loop)
296 -> 297 -> 311 -> 316 -> 314 (1-loop)
297 -> 311 -> 316 -> 314 (1-loop)
298 -> 297 -> 311 -> 316 -> 314 (1-loop)
299 -> 315 -> 324 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
300 -> 303 -> 309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
301 -> 305 -> 313 -> 320 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 ->
358 (1-loop)
302 -> 303 -> 309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
303 -> 309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
304 -> 303 -> 309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
305 -> 313 -> 320 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
306 -> 303 -> 309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
307 -> 317 -> 328 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
308 -> 303 -> 309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358
(1-loop)
309 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
310 -> 314 (1-loop)
311 -> 316 -> 314 (1-loop)
312 -> 314 (1-loop)
313 -> 320 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
314 -> 314 (1-loop)
315 -> 324 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
316 -> 314 (1-loop)
317 -> 328 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
318 -> 314 (1-loop)
319 -> 332 -> 336 (1-loop)
320 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
322 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
324 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
325 -> 331 -> 338 -> 336 (1-loop)
326 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
328 -> 321 -> 323 -> 327 -> 335 -> 346 -> 339 -> 354 -> 358 (1-loop)
329 -> 339 -> 354 -> 358 (1-loop)
330 -> 336 (1-loop)
331 -> 338 -> 336 (1-loop)
332 -> 336 (1-loop)
333 -> 342 -> 339 -> 354 -> 358 (1-loop)
334 -> 336 (1-loop)
335 -> 346 -> 339 -> 354 -> 358 (1-loop)
336 -> 336 (1-loop)
337 -> 350 -> 358 (1-loop)
338 -> 336 (1-loop)
339 -> 354 -> 358 (1-loop)
340 -> 339 -> 354 -> 358 (1-loop)
341 -> 341 (1-loop)
342 -> 339 -> 354 -> 358 (1-loop)
343 -> 345 -> 349 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402
(2-loop)
344 -> 339 -> 354 -> 358 (1-loop)
345 -> 349 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
346 -> 339 -> 354 -> 358 (1-loop)
347 -> 353 -> 364 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402
(2-loop)
348 -> 339 -> 354 -> 358 (1-loop)
349 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
350 -> 358 (1-loop)
351 -> 360 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
352 -> 358 (1-loop)
353 -> 364 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
354 -> 358 (1-loop)
355 -> 368 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
356 -> 358 (1-loop)
357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
358 -> 358 (1-loop)
359 -> 376 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
360 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
361 -> 359 -> 376 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
362 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
363 -> 363 (1-loop)
364 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
365 -> 367 -> 371 -> 382 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
366 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
367 -> 371 -> 382 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
368 -> 357 -> 372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
369 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
370 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
371 -> 382 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
372 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
373 -> 386 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
374 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
375 -> 390 -> 402 -> 396 -> 402 (2-loop)
376 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
377 -> 394 -> 402 -> 396 -> 402 (2-loop)
378 -> 380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
379 -> 398 -> 402 -> 396 -> 402 (2-loop)
380 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
381 -> 377 -> 394 -> 402 -> 396 -> 402 (2-loop)
382 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
383 -> 381 -> 377 -> 394 -> 402 -> 396 -> 402 (2-loop)
384 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
385 -> 385 (1-loop)
386 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
387 -> 389 -> 393 -> 408 -> 396 -> 402 -> 396 (2-loop)
388 -> 375 -> 390 -> 402 -> 396 -> 402 (2-loop)
389 -> 393 -> 408 -> 396 -> 402 -> 396 (2-loop)
390 -> 402 -> 396 -> 402 (2-loop)
391 -> 404 -> 396 -> 402 -> 396 (2-loop)
392 -> 402 -> 396 -> 402 (2-loop)
393 -> 408 -> 396 -> 402 -> 396 (2-loop)
394 -> 402 -> 396 -> 402 (2-loop)
395 -> 412 -> 407 -> 410 -> 407 (2-loop)
396 -> 402 -> 396 -> 402 (2-loop)
397 -> 416 -> 407 -> 410 -> 407 (2-loop)
398 -> 402 -> 396 -> 402 (2-loop)
399 -> 420 -> 414 -> 407 -> 410 -> 407 (2-loop)
400 -> 396 -> 402 -> 396 (2-loop)
401 -> 398 -> 402 -> 396 -> 402 (2-loop)
402 -> 396 -> 402 -> 396 (2-loop)
403 -> 402 -> 396 -> 402 (2-loop)
404 -> 396 -> 402 -> 396 (2-loop)
405 -> 406 -> 396 -> 402 -> 396 (2-loop)
406 -> 396 -> 402 -> 396 (2-loop)
407 -> 410 -> 407 -> 410 (2-loop)
408 -> 396 -> 402 -> 396 (2-loop)
409 -> 414 -> 407 -> 410 -> 407 (2-loop)
410 -> 407 -> 410 -> 407 (2-loop)
411 -> 409 -> 414 -> 407 -> 410 -> 407 (2-loop)
412 -> 407 -> 410 -> 407 (2-loop)
413 -> 413 (1-loop)
414 -> 407 -> 410 -> 407 (2-loop)
415 -> 417 -> 421 -> 416 -> 407 -> 410 -> 407 (2-loop)
416 -> 407 -> 410 -> 407 (2-loop)
417 -> 421 -> 416 -> 407 -> 410 -> 407 (2-loop)
418 -> 407 -> 410 -> 407 (2-loop)
419 -> 425 -> 424 -> 414 -> 407 -> 410 -> 407 (2-loop)
420 -> 414 -> 407 -> 410 -> 407 (2-loop)
421 -> 416 -> 407 -> 410 -> 407 (2-loop)
422 -> 414 -> 407 -> 410 -> 407 (2-loop)
423 -> 420 -> 414 -> 407 -> 410 -> 407 (2-loop)
424 -> 414 -> 407 -> 410 -> 407 (2-loop)
425 -> 424 -> 414 -> 407 -> 410 -> 407 (2-loop)
426 -> 414 -> 407 -> 410 -> 407 (2-loop)
427 -> 428 -> 414 -> 407 -> 410 -> 407 (2-loop)
428 -> 414 -> 407 -> 410 -> 407 (2-loop)
429 -> 432 -> 429 -> 432 (2-loop)
430 -> 429 -> 432 -> 429 (2-loop)
431 -> 431 (1-loop)
432 -> 429 -> 432 -> 429 (2-loop)
433 -> 435 -> 439 -> 447 -> 446 -> 432 -> 429 -> 432 (2-loop)
434 -> 429 -> 432 -> 429 (2-loop)
435 -> 439 -> 447 -> 446 -> 432 -> 429 -> 432 (2-loop)
436 -> 429 -> 432 -> 429 (2-loop)
437 -> 443 -> 438 -> 429 -> 432 -> 429 (2-loop)
438 -> 429 -> 432 -> 429 (2-loop)
439 -> 447 -> 446 -> 432 -> 429 -> 432 (2-loop)
440 -> 432 -> 429 -> 432 (2-loop)
441 -> 434 -> 429 -> 432 -> 429 (2-loop)
442 -> 432 -> 429 -> 432 (2-loop)
443 -> 438 -> 429 -> 432 -> 429 (2-loop)
444 -> 432 -> 429 -> 432 (2-loop)
445 -> 442 -> 432 -> 429 -> 432 (2-loop)
446 -> 432 -> 429 -> 432 (2-loop)
447 -> 446 -> 432 -> 429 -> 432 (2-loop)
448 -> 432 -> 429 -> 432 (2-loop)
449 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 (6-loop)
451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 -> 453 (6-loop)
452 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 (6-loop)
453 -> 457 -> 465 -> 460 -> 450 -> 451 -> 453 -> 457 (6-loop)
454 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 (6-loop)
455 -> 461 -> 452 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 (6-loop)
456 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 (6-loop)
457 -> 465 -> 460 -> 450 -> 451 -> 453 -> 457 -> 465 (6-loop)
458 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 (6-loop)
459 -> 469 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
460 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
461 -> 452 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 (6-loop)
462 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
463 -> 456 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 -> 451 (6-loop)
464 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
465 -> 460 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 (6-loop)
466 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
467 -> 464 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
469 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
470 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 ->
555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
471 -> 475 -> 483 -> 474 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 ->
541 -> 543 -> 547 -> 555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604
(2-loop)
472 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 ->
555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 ->
570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
474 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 ->
555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
475 -> 483 -> 474 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 ->
543 -> 547 -> 555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
476 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 ->
555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
477 -> 487 -> 482 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450
(6-loop)
478 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 ->
555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 -> 570 ->
582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
480 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
481 -> 470 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 ->
547 -> 555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
482 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
483 -> 474 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 ->
547 -> 555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
484 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
485 -> 478 -> 473 -> 479 -> 491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 ->
547 -> 555 -> 570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
486 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
487 -> 482 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
488 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
489 -> 486 -> 468 -> 450 -> 451 -> 453 -> 457 -> 465 -> 460 -> 450 (6-loop)
490 -> 495 -> 505 -> 515 -> 526 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 ->
570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
491 -> 497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 -> 570 -> 582 ->
577 -> 596 -> 604 -> 594 -> 604 (2-loop)
492 -> 495 -> 505 -> 515 -> 526 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 ->
570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
493 -> 501 -> 507 -> 519 -> 534 -> 538 (1-loop)
494 -> 495 -> 505 -> 515 -> 526 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 ->
570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
495 -> 505 -> 515 -> 526 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 -> 570 ->
582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
496 -> 495 -> 505 -> 515 -> 526 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 ->
570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
497 -> 509 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 -> 570 -> 582 -> 577 ->
596 -> 604 -> 594 -> 604 (2-loop)
498 -> 495 -> 505 -> 515 -> 526 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 ->
570 -> 582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)
499 -> 513 -> 522 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 -> 570 -> 582 ->
577 -> 596 -> 604 -> 594 -> 604 (2-loop)
500 -> 505 -> 515 -> 526 -> 523 -> 529 -> 541 -> 543 -> 547 -> 555 -> 570 ->
582 -> 577 -> 596 -> 604 -> 594 -> 604 (2-loop)

[Jongware]
Barry
2006-12-04 13:15:32 UTC
Permalink
"Eric A." <***@kntv.be> wrote in message news:***@79g2000cws.googlegroups.com...
Hello,
could someone be so nice to compute for me two hundred more terms of
this sequence:
0,11,13,17,18,25,28,54,55,64,65...
Explanations can be found there:
http://www.cetteadressecomportecinquantesignes.com/134.htm
I'll mention yr name in Neil Sloane's OEIS if the sequence is accepted.

Thanks,
Éric A.
[crossposted to alt.math.recreational an hour ago]

I came up with:
0 11 13 17 18 25 28 54 55 64 65 112 121 134 137 143 148 155 156 165
166 173 178 184 187 198 200 209 211 216 231 233 234 237 244 245 270 275 280
285
314 336 341 358 363 385 396 402 407 410 413 429 431 432 450 451 453 457 460
465
516 538 561 583 594 604 615 633 651 671 673 676 677 685 718 781 792 806 817
835
853 871 1012 1021 1034 1037 1043 1048 1055 1056 1065 1066 1073 1078 1084
1087 1102 1120 1135 1138
Barry
Barry
2006-12-04 13:39:53 UTC
Permalink
Post by Eric A.
Hello,
could someone be so nice to compute for me two hundred more terms of
0,11,13,17,18,25,28,54,55,64,65...
http://www.cetteadressecomportecinquantesignes.com/134.htm
I'll mention yr name in Neil Sloane's OEIS if the sequence is accepted.
Thanks,
Éric A.
[crossposted to alt.math.recreational an hour ago]
0 11 13 17 18 25 28 54 55 64 65 112 121 134 137 143 148 155 156 165
166 173 178 184 187 198 200 209 211 216 231 233 234 237 244 245 270 275 280
285
314 336 341 358 363 385 396 402 407 410 413 429 431 432 450 451 453 457 460
465
516 538 561 583 594 604 615 633 651 671 673 676 677 685 718 781 792 806 817
835
853 871 1012 1021 1034 1037 1043 1048 1055 1056 1065 1066 1073 1078 1084
1087 1102 1120 1135 1138
Barry
and 1145 if you don't want to zero.
Barry
[Jongware]
2006-12-04 13:47:40 UTC
Permalink
Post by Eric A.
Hello,
could someone be so nice to compute for me two hundred more terms of
0,11,13,17,18,25,28,54,55,64,65...
http://www.cetteadressecomportecinquantesignes.com/134.htm
I'll mention yr name in Neil Sloane's OEIS if the sequence is accepted.
Oops -- sorry for the over-long previous answer. I see Barry got what you
asked for :-o
Okay, since I'm still at work and still bored silly, howzabout:

0 11 13 17 18 25 28 54 55 64 65 112 121 134 137 143 148 155 156 165 166 173
178 184 187 198 200 209 211 216 231 233 234 237 244 245 270 275 280 285 314
336 341 358 363 385 396 402 407 410 413 429 431 432 450 451 453 457 460 465
516 538 561 583 594 604 615 633 651 671 673 676 677 685 718 781 792 806 817
835 853 871 1012 1021 1034 1037 1043 1048 1055 1056 1065 1066 1073 1078 1084
1087 1102 1120 1135 1138 1145 1148 1201 1210 1217 1223 1224 1232 1235 1242
1245 1253 1254 1260 1267 1276 1289 1298 1304 1322 1340 1378 1381 1397 1403
1408 1415 1417 1418 1422 1425 1430 1447 1452 1469 1474 1496 1506 1524 1542
1560 1578 1583 1584 1595 1605 1606 1615 1616 1627 1649 1650 1672 1694 1708
1726 1744 1762 1780 1793 1804 1807 1810 1813 1829 1870 1892 1928 1946 1964
1982 2009 2011 2016 2031 2033 2034 2037 2044 2045 2070 2075 2080 2085 2101
2110 2117 2123 2124 2132 2135 2142 2145 2153 2154 2160 2167 2176 2189 2198
2207 2210 2213 2229 2231 2232 2250 2251 2253 2257 2260 2265 2312 2321 2334
2337 2343 2348 2355 2356 2365 2366 2373 2378 2384 2387 2394 2400 2415 2433
2451 2471 2473 2476 2477 2485 2514 2536 2541 2558 2563 2585 2592 2602 2617
2635 2653 2671 2716 2738 2761 2783 2790 2804 2819 2837 2855 2873 2891 2918
2981 3014 3036 3041 3058 3063 3085 3104 3122 3140 3178 3181 3212 3221 3234
3237 3243 3248 3255 3256 3265 3266 3273 3278 3284 3287 3306 3324 3342 3360
3378 3383 3384 3401 3410 3417 3423 3424 3432 3435 3442 3445 3453 3454 3460
3467 3476 3489 3498 3508 3526 3544 3562 3580 3597 3603 3608 3615 3617 3618
3621 3622 3625 3630 3647 3652 3669 3674 3696 3728 3746 3764 3782 3795 3805
3806 3812 3813 3819 3824 3827 3849 3850 3872 3894 3948 3966 3984 4007 4010
4013 4029 4031 4032 4050 4051 4053 4057 4060 4065 4097 4103 4108 4109 4115
4118 4125 4130 4147 4152 4169 4174 4196 4215 4233 4251 4271 4273 4276 4277
4285 4301 4310 4317 4323 4324 4332 4335 4342 4345 4353 4354 4360 4367 4376
4389 4398 4417 4435 4453 4471 4512 4521 4534 4537 4543 4548 4555 4556 4565
4566 4573 4578 4584 4587 4590 4600 4619 4637 4655 4673 4691 4714 4736 4741
4758 4763 4775 4785 4788 4790 4802 4839 4857 4875 4893 4916 4938 4961 4983
5016 5038 5061 5083 5106 5124 5142 5160 5178 5183 5184 5214 5236 5241 5258
5263 5285 5308 5326 5344 5362 5380 5412 5421 5434 5437 5443 5448 5455 5456
5465 5466 5473 5478 5484 5487 5528 5546 5564 5582 5601 5610 5617 5623 5624
5632 5635 5642 5645 5653 5654 5660 5667 5676 5689 5698 5748 5766 5784 5803
5825 5830 5847 5852 5869 5874 5896 5968 5986 5994 6007 6008 6011 6013 6015
6033 6051 6071 6073 6076 6077 6085 6095 6097 6101 6103 6105 6106 6107 6109
6112 6113 6127 6149 6150 6172 6194 6217 6235 6253 6271 6297 6303 6305 6307
6308 6310 6311 6325 6330 6347 6352 6369 6374 6396 6419 6437 6455 6473 6491
6501 6510 6517 6523 6524 6532 6535 6542 6545 6553 6554 6560 6567 6576 6589
6598 6599 6616 6639 6657 6675 6693 6712 6721 6734 6737 6743 6748 6755 6756
6765 6766 6773 6778 6784 6787 6797 6814 6859 6877 6895 6914 6936 6941 6958
6963 6985 7018 7081 7108 7126 7144 7162 7180 7216 7238 7261 7283 7328 7346
7364 7382 7414 7436 7441 7458 7463 7485 7548 7566 7584 7612 7621 7634 7637
7643 7648 7655 7656 7665 7666 7673 7678 7684 7687 7768 7786 7801 7810 7817
7823 7824 7832 7835 7842 7845 7853 7854 7860 7867 7876 7889 7898 7988 7998
8003 8009 8010 8013 8015 8017 8035 8053 8071 8093 8095 8097 8099 8101 8103
8105 8106 8107 8109 8111 8129 8170 8192 8219 8237 8255 8273 8291 8295 8297
8299 8301 8303 8305 8306 8307 8309 8312 8313 8327 8349 8350 8372 8394 8399
8412 8439 8457 8475 8493 8497 8499 8501 8503 8505 8507 8508 8510 8511 8525
8530 8547 8552 8569 8574 8596 8597 8610 8659 8677 8695 8701 8710 8717 8723
8724 8732 8735 8742 8745 8753 8754 8760 8767 8776 8789 8798 8879 8897 8912
8921 8934 8937 8943 8948 8955 8956 8965 8966 8973 8978 8984 8987 9128 9146
9164 9182 9218 9281 9348 9366 9384 9416 9438 9461 9483 9568 9586 9614 9636
9641 9658 9663 9685 9788 9812 9821 9834 9837 9843 9848 9855 9856 9865 9866
9873 9878 9884 9887 10012 10021 10034 10037 10043 10048 10055 10056 10065
10066 10073 10078 10084 10087 10102 10120 10135 10138 10145 10148 10201
10210 10217 10223 10224 10232 10235 10242 10245 10253 10254 10260 10267
10276 10289 10298 10304 10322 10340 10378 10381 10397 10403 10408 10415
10417 10418 10422 10425 10430 10447 10452 10469 10474 10496 10506 10524
10542 10560 10578 10583 10584 10595 10605 10606 10615 10616 10627 10649
10650 10672 10694 10708 10726 10744 10762 10780 10793 10804 10807 10810
10813 10829 10870 10892 10928 10946 10964 10982 11002 11020 11035 11038
11045 11048 11114 11136 11141 11158 11163 11185 11200 11211 11213 11217
11218 11225 11228 11254 11255 11264 11265 11316 11338 11361 11383 11398
11404 11409 11411 11416 11431 11433 11434 11437 11444 11445 11470 11475
11480 11485 11518 11581 11596 11606 11607 11610 11613 11629 11631 11632
11650 11651 11653 11657 11660 11665 11794 11808 11815 11833 11851 11871
11873 11876 11877 11885 12001 12010 12017 12023 12024 12032 12035 12042
12045 12053 12054 12060 12067 12076 12089 12098 12100 12111 12113 12117
12118 12125 12128 12154 12155 12164 12165 12197 12203 12208 12213 12214
12225 12230 12247 12252 12269 12274 12296 12302 12320 12335 12338 12345
12348 12395 12405 12408 12411 12427 12449 12450 12472 12494 12504 12522
12540 12578 12581 12593 12606 12607 12609 12611 12629 12670 12692 12706
12724 12742 12760 12778 12783 12784 12791 12793 12801 12804 12805 12807
12809 12811 12890 12908 12926 12944 12962 12980 13004 13022 13040 13078
13081 13116 13138 13161 13183 13202 13220 13235 13238 13245 13248 13318
13381 13400 13411 13413 13417 13418 13425 13428 13454 13455 13464 13465
13598 13608 13609 13611 13616 13631 13633 13634 13637 13644 13645 13670
13675 13680 13685 13807 13810 13813 13829 13831 13832 13850 13851 13853
13857 13860 13865 13997 14003 14008 14015 14018 14025 14026 14030 14047
14052 14069 14074 14096 14109 14111 14116 14131 14133 14134 14137 14144
14145 14170 14175 14180 14185 14195 14205 14206 14207 14209 14212 14213
14227 14249 14250 14272 14294 14300 14311 14313 14317 14318 14325 14328
14354 14355 14364 14365 14393 14399 14403 14404 14405 14407 14417 14418
14429 14470 14492 14502 14520 14535 14538 14545 14548 14591 14593 14597
14601 14602 14603 14605 14607 14609 14612 14615 14690 14704 14722 14740
14778 14781 14789 14794 14795 14803 14806 14813 14906 14924 14942 14960
14978 14983 14984 15006 15024 15042 15060 15078 15083 15084 15118 15181
15204 15222 15240 15278 15281 15402 15420 15435 15438 15445 15448 15600
15611 15613 15617 15618 15625 15628 15654 15655 15664 15665 15809 15811
15816 15831 15833 15834 15837 15844 15845 15870 15875 15880 15885 15995
16005 16006 16012 16013 16024 16027 16049 16050 16072 16094 16107 16110
16113 16129 16131 16132 16150 16151 16153 16157 16160 16165 16193 16195
16199 16201 16203 16204 16205 16207 16210 16213 16229 16270 16292 16309
16311 16316 16331 16333 16334 16337 16344 16345 16370 16375 16380 16385
16391 16399 16402 16409 16412 16415 16490 16500 16511 16513 16517 16518
16525 16528 16554 16555 16564 16565 16589 16590 16591 16595 16599 16600
16601 16603 16607 16609 16614 16617 16702 16720 16735 16738 16745 16748
16774 16779 16787 16788 16789 16792 16797 16801 16808 16815 16904 16922
16940 16978 16981 17008 17026 17044 17062 17080 17206 17224 17242 17260
17278 17283 17284 17404 17422 17440 17478 17481 17602 17620 17635 17638
17645 17648 17800 17811 17813 17817 17818 17825 17828 17854 17855 17864
17865 17993 18006 18007 18011 18022 18029 18070 18092 18115 18133 18151
18171 18173 18176 18177 18185 18191 18193 18195 18197 18199 18201 18203
18204 18205 18207 18209 18211 18290 18307 18310 18313 18329 18331 18332
18350 18351 18353 18357 18360 18365 18509 18511 18516 18531 18533 18534
18537 18544 18545 18570 18575 18580 18585 18593 18603 18700 18711 18713
18717 18718 18725 18728 18754 18755 18764 18765 18772 18777 18786 18787
18791 18796 18799 18801 18810 18817 18902 18920 18935 18938 18945 18948
19028 19046 19064 19082 19208 19226 19244 19262 19280 19406 19424 19442
19460 19478 19483 19484 19604 19622 19640 19678 19681 19802 19820 19835
19838 19845 19848 20009 20011 20016 20031 20033 20034 20037 20044 20045
20070 20075 20080 20085 20101 20110 20117 20123 20124 20132 20135 20142
20145 20153 20154 20160 20167 20176 20189 20198 20207 20210 20213 20229
20231 20232 20250 20251 20253 20257 20260 20265 20312 20321 20334 20337
20343 20348 20355 20356 20365 20366 20373 20378 20384 20387 20394 20400
20415 20433 20451 20471 20473 20476 20477 20485 20514 20536 20541 20558
20563 20585 20592 20602 20617 20635 20653 20671 20716 20738 20761 20783
20790 20804 20819 20837 20855 20873 20891 20918 20981 21001 21010 21017
21023 21024 21032 21035 21042 21045 21053 21054 21060 21067 21076 21089
21098 21100 21111 21113 21117 21118 21125 21128 21154 21155 21164 21165
21197 21203 21208 21213 21214 21225 21230 21247 21252 21269 21274 21296
21302 21320 21335 21338 21345 21348 21395 21405 21408 21411 21427 21449
21450 21472 21494 21504 21522 21540 21578 21581 21593 21606 21607 21609
21611 21629 21670 21692 21706 21724 21742 21760 21778 21783 21784 21791
21793 21801 21804 21805 21807 21809 21811 21890 21908 21926 21944 21962
21980 22007 22010 22013 22029 22031 22032 22050 22051 22053 22057 22060
22065 22097 22103 22108 22109 22115 22118 22125 22130 22147 22152 22169
22174 22196 22215 22233 22251 22271 22273 22276 22277 22285 22301 22310
22317 22323 22324 22332 22335 22342 22345 22353 22354 22360 22367 22376
22389 22398 22417 22435 22453 22471 22512 22521 22534 22537 22543 22548
22555 22556 22565 22566 22573 22578 22584 22587 22590 22600 22619 22637
22655 22673 22691 22714 22736 22741 22758 22763 22775 22785 22788 22790
22802 22839 22857 22875 22893 22916 22938 22961 22983 23012 23021 23034
23037 23043 23048 23055 23056 23065 23066 23073 23078 23084 23087 23102
23120 23135 23138 23145 23148 23201 23210 23217 23223 23224 23232 23235
23242 23245 23253 23254 23260 23267 23276 23289 23298 23304 23322 23340
23378 23381 23397 23403 23408 23415 23417 23418 23422 23425 23430 23447
23452 23469 23474 23496 23506 23524 23542 23560 23578 23583 23584 23595
23605 23606 23615 23616 23627 23649 23650 23672 23694 23708 23726 23744
23762 23780 23793 23804 23807 23810 23813 23829 23870 23892 23928 23946
23964 23982 23994 24004 24005 24009 24012 24015 24033 24051 24071 24073
24076 24077 24085 24095 24097 24101 24103 24105 24106 24107 24109 24112
24113 24127 24149 24150 24172 24194 24217 24235 24253 24271 24297 24303
24305 24307 24308 24310 24311 24325 24330 24347 24352 24369 24374 24396
24419 24437 24455 24473 24491 24501 24510 24517 24523 24524 24532 24535
24542 24545 24553 24554 24560 24567 24576 24589 24598 24599 24616 24639
24657 24675 24693 24712 24721 24734 24737 24743 24748 24755 24756 24765
24766 24773 24778 24784 24787 24797 24814 24859 24877 24895 24914 24936
24941 24958 24963 24985 25014 25036 25041 25058 25063 25085 25104 25122
25140 25178 25181 25212 25221 25234 25237 25243 25248 25255 25256 25265
25266 25273 25278 25284 25287 25306 25324 25342 25360 25378 25383 25384
25401 25410 25417 25423 25424 25432 25435 25442 25445 25453 25454 25460
25467 25476 25489 25498 25508 25526 25544 25562 25580 25597 25603 25608
25615 25617 25618 25621 25622 25625 25630 25647 25652 25669 25674 25696
25728 25746 25764 25782 25795 25805 25806 25812 25813 25819 25824 25827
25849 25850 25872 25894 25948 25966 25984 25992 26002 26005 26011 26017
26035 26053 26071 26093 26095 26097 26099 26101 26103 26105 26106 26107
26109 26111 26129 26170 26192 26219 26237 26255 26273 26291 26295 26297
26299 26301 26303 26305 26306 26307 26309 26312 26313 26327 26349 26350
26372 26394 26399 26412 26439 26457 26475 26493 26497 26499 26501 26503
26505 26507 26508 26510 26511 26525 26530 26547 26552 26569 26574 26596
26597 26610 26659 26677 26695 26701 26710 26717 26723 26724 26732 26735
26742 26745 26753 26754 26760 26767 26776 26789 26798 26879 26897 26912
26921 26934 26937 26943 26948 26955 26956 26965 26966 26973 26978 26984
26987 27016 27038 27061 27083 27106 27124 27142 27160 27178 27183 27184
27214 27236 27241 27258 27263 27285 27308 27326 27344 27362 27380 27412
27421 27434 27437 27443 27448 27455 27456 27465 27466 27473 27478 27484
27487 27528 27546 27564 27582 27601 27610 27617 27623 27624 27632 27635
27642 27645 27653 27654 27660 27667 27676 27689 27698 27748 27766 27784
27803 27825 27830 27847 27852 27869 27874 27896 27968 27986 27990 28004
28007 28013 28019 28037 28055 28073 28091 28093 28095 28097 28099 28101
28103 28105 28107 28109 28190 28239 28257 28275 28293 28295 28297 28299
28301 28303 28305 28307 28329 28370 28392 28459 28477 28495 28497 28499
28501 28503 28505 28527 28549 28550 28572 28594 28679 28697 28699 28701
28703 28725 28730 28747 28752 28769 28774 28796 28899 28901 28910 28917
28923 28924 28932 28935 28942 28945 28953 28954 28960 28967 28976 28989
28998 29018 29081 29108 29126 29144 29162 29180 29216 29238 29261 29283
29328 29346 29364 29382 29414 29436 29441 29458 29463 29485 29548 29566
29584 29612 29621 29634 29637 29643 29648 29655 29656 29665 29666 29673
29678 29684 29687 29768 29786 29801 29810 29817 29823 29824 29832 29835
29842 29845 29853 29854 29860 29867 29876 29889 29898 29988

which are the 2,335 used values in the first 30,001 integers (0 to 30,000).
Want more?

[Jw]
Eric A.
2006-12-04 16:26:03 UTC
Permalink
Post by [Jongware]
Jongware
Want more?
... Geee, you and Barry are too much ! 30000 thanks !
I'll update my page in a couple of minutes...

(Am I too demanding if I ask for the same job here:
http://www.cetteadressecomportecinquantesignes.com/22.htm)

Best,
�.
[Jongware]
2006-12-04 16:35:40 UTC
Permalink
Post by [Jongware]
Jongware
Want more?
... Geee, you and Barry are too much ! 30000 thanks !
I'll update my page in a couple of minutes...

(Am I too demanding if I ask for the same job here:
http://www.cetteadressecomportecinquantesignes.com/22.htm)

S'thing like this?

0 22 26 27 34 35 44 49 52 63 66 78 79 81 88 99 104 107 108 112 115 121 126
133 134 143 144 151 156 165 178 187 211 224 229 232 233 283 290 314 336 341
358 363 385 413 431 467 470 489 492 516 538 561 583 615 633 651 669 672 673
687 694 695 718 781 817 835 853 871 889 891 896 901 1008 1012 1015 1021 1026
1033 1034 1043 1044 1051 1056 1065 1078 1087 1102 1120 1142 1143 1146 1151
1154 1164 1165 1172 1201 1210 1223 1228 1232 1239 1245 1246 1254 1257 1264
1267 1275 1276 1282 1289 1293 1298 1304 1318 1321 1322 1340 1362 1366 1367
1374 1381 1384 1392 1403 1425 1430 1447 1452 1469 1474 1484 1488 1492 1494
1496 1499 1506 1507 1524 1542 1560 1582 1583 1586 1594 1605 1627 1649 1650
1672 1686 1690 1692 1694 1696 1698 1702 1705 1708 1726 1744 1762 1780 1807
1829 1870 1888 1892 1898 1899 1904 1911 1928 1946 1964 1982 2011 2024 2029
2032 2033 2083 2090 2101 2110 2123 2128 2132 2139 2145 2146 2154 2157 2164
2167 2175 2176 2182 2189 2193 2198 2213 2231 2267 2270 2289 2292 2308 2312
2315 2321 2326 2333 2334 2343 2344 2351 2356 2365 2378 2387 2415 2433 2451
2469 2472 2473 2487 2494 2495 2514 2536 2541 2558 2563 2585 2617 2635 2653
2671 2689 2695 2696 2701 2716 2738 2761 2783 2819 2837 2855 2873 2891 2918
2981 3014 3036 3041 3058 3063 3085 3104 3118 3121 3122 3140 3162 3166 3167
3174 3181 3184 3192 3208 3212 3215 3221 3226 3233 3234 3243 3244 3251 3256
3265 3278 3287 3288 3294 3303 3306 3324 3342 3360 3382 3383 3386 3394 3401
3410 3423 3428 3432 3439 3445 3446 3454 3457 3464 3467 3475 3476 3482 3486
3489 3492 3493 3498 3501 3508 3526 3544 3562 3580 3603 3625 3630 3647 3652
3669 3674 3684 3696 3699 3728 3746 3764 3782 3805 3827 3849 3850 3872 3888
3894 3909 3948 3966 3984 4013 4031 4067 4070 4089 4092 4103 4125 4130 4147
4152 4169 4174 4184 4196 4199 4215 4233 4251 4269 4272 4273 4287 4294 4295
4301 4310 4323 4328 4332 4339 4345 4346 4354 4357 4364 4367 4375 4376 4382
4389 4393 4398 4417 4435 4453 4471 4489 4496 4499 4501 4508 4512 4515 4521
4526 4533 4534 4543 4544 4551 4556 4565 4578 4587 4619 4637 4655 4673 4691
4714 4736 4741 4758 4763 4785 4839 4857 4875 4893 4916 4938 4961 4983 5016
5038 5061 5083 5106 5124 5142 5160 5182 5183 5186 5194 5214 5236 5241 5258
5263 5285 5308 5326 5344 5362 5380 5408 5412 5415 5421 5426 5433 5434 5443
5444 5451 5456 5465 5478 5487 5528 5546 5564 5582 5601 5610 5623 5628 5632
5639 5645 5646 5654 5657 5664 5667 5675 5676 5682 5688 5689 5693 5698 5705
5748 5766 5784 5803 5825 5830 5847 5852 5869 5874 5884 5886 5896 5899 5903
5968 5986 6015 6033 6051 6069 6072 6073 6087 6094 6095 6105 6127 6149 6150
6172 6194 6217 6235 6253 6271 6303 6325 6330 6347 6352 6369 6374 6384 6396
6399 6419 6437 6455 6473 6491 6501 6510 6523 6528 6532 6539 6545 6546 6554
6557 6564 6567 6575 6576 6582 6589 6593 6598 6639 6657 6675 6693 6708 6712
6715 6721 6726 6733 6734 6743 6744 6751 6756 6765 6778 6787 6859 6877 6895
6914 6936 6941 6958 6963 6985 7018 7081 7108 7126 7144 7162 7180 7216 7238
7261 7283 7328 7346 7364 7382 7414 7436 7441 7458 7463 7485 7488 7501 7548
7566 7584 7608 7612 7615 7621 7626 7633 7634 7643 7644 7651 7656 7665 7678
7687 7768 7786 7801 7810 7823 7828 7832 7839 7845 7846 7854 7857 7864 7867
7875 7876 7882 7889 7893 7898 7988 8017 8035 8053 8071 8107 8129 8170 8192
8219 8237 8255 8273 8291 8305 8327 8349 8350 8372 8394 8439 8457 8475 8493
8503 8525 8530 8547 8552 8569 8574 8584 8596 8599 8659 8677 8695 8701 8710
8723 8728 8732 8739 8745 8746 8754 8757 8764 8767 8775 8776 8782 8789 8793
8798 8879 8897 8908 8912 8915 8921 8926 8933 8934 8943 8944 8951 8956 8965
8978 8987 9128 9146 9164 9182 9218 9281 9348 9366 9384 9416 9438 9461 9483
9568 9586 9614 9636 9641 9658 9663 9685 9788 9808 9812 9815 9821 9826 9833
9834 9843 9844 9851 9856 9865 9878 9887 10008 10012 10015 10021 10026 10033
10034 10043 10044 10051 10056 10065 10078 10087 10102 10120 10142 10143
10146 10151 10154 10164 10165 10172 10201 10210 10223 10228 10232 10239
10245 10246 10254 10257 10264 10267 10275 10276 10282 10289 10293 10298
10304 10318 10321 10322 10340 10362 10366 10367 10374 10381 10384 10392
10403 10425 10430 10447 10452 10469 10474 10484 10488 10492 10494 10496
10499 10506 10507 10524 10542 10560 10582 10583 10586 10594 10605 10627
10649 10650 10672 10686 10690 10692 10694 10696 10698 10702 10705 10708
10726 10744 10762 10780 10807 10829 10870 10888 10892 10898 10899 10904
10911 10928 10946 10964 10982 11002 11020 11042 11043 11046 11051 11054
11064 11065 11072 11114 11136 11141 11158 11163 11185 11200 11222 11226
11227 11234 11235 11244 11249 11252 11263 11266 11278 11279 11281 11288
11295 11303 11304 11316 11338 11361 11383 11411 11424 11429 11432 11433
11483 11490 11518 11581 11613 11631 11667 11670 11689 11692 11815 11833
11851 11869 11872 11873 11887 11894 11895 12001 12010 12023 12028 12032
12039 12045 12046 12054 12057 12064 12067 12075 12076 12082 12089 12093
12098 12100 12122 12126 12127 12134 12135 12144 12149 12152 12163 12166
12178 12179 12203 12225 12230 12247 12252 12269 12274 12284 12296 12298
12299 12300 12302 12320 12342 12343 12346 12351 12354 12364 12365 12372
12405 12427 12449 12450 12472 12494 12496 12498 12500 12502 12504 12518
12521 12522 12540 12562 12566 12567 12574 12581 12584 12592 12607 12629
12670 12692 12694 12696 12698 12700 12702 12704 12706 12724 12742 12760
12782 12783 12786 12794 12809 12890 12892 12894 12896 12898 12900 12902
12904 12906 12908 12926 12944 12962 12980 13004 13018 13021 13022 13040
13062 13066 13067 13074 13081 13084 13092 13116 13138 13161 13183 13202
13220 13242 13243 13246 13251 13254 13264 13265 13272 13318 13381 13400
13422 13426 13427 13434 13435 13444 13449 13452 13463 13466 13478 13479
13481 13488 13499 13504 13611 13624 13629 13632 13633 13683 13690 13813
13831 13867 13870 13889 13892 14003 14025 14030 14047 14052 14069 14074
14084 14096 14099 14111 14124 14129 14132 14133 14183 14190 14205 14227
14249 14250 14272 14294 14300 14322 14326 14327 14334 14335 14344 14349
14352 14363 14366 14378 14379 14407 14429 14470 14492 14498 14502 14504
14506 14507 14510 14520 14542 14543 14546 14551 14554 14564 14565 14572
14609 14690 14696 14700 14702 14704 14718 14721 14722 14740 14762 14766
14767 14774 14781 14784 14792 14894 14900 14906 14924 14942 14960 14982
14983 14986 14994 15006 15024 15042 15060 15082 15083 15086 15094 15118
15181 15204 15218 15221 15222 15240 15262 15266 15267 15274 15281 15284
15292 15402 15420 15442 15443 15446 15451 15454 15464 15465 15472 15600
15622 15626 15627 15634 15635 15644 15649 15652 15663 15666 15678 15679
15681 15688 15695 15704 15811 15824 15829 15832 15833 15883 15890 16005
16027 16049 16050 16072 16094 16113 16131 16167 16170 16189 16192 16207
16229 16270 16292 16311 16324 16329 16332 16333 16383 16390 16409 16490
16500 16522 16526 16527 16534 16535 16544 16549 16552 16563 16566 16578
16579 16698 16702 16707 16708 16714 16715 16720 16742 16743 16746 16751
16754 16764 16765 16772 16896 16904 16906 16908 16909 16912 16918 16921
16922 16940 16962 16966 16967 16974 16981 16984 16992 17008 17026 17044
17062 17080 17206 17224 17242 17260 17282 17283 17286 17294 17404 17418
17421 17422 17440 17462 17466 17467 17474 17481 17484 17492 17602 17620
17642 17643 17646 17651 17654 17664 17665 17672 17800 17822 17826 17827
17834 17835 17844 17849 17852 17863 17866 17878 17879 17881 17888 17891
17904 18007 18029 18070 18092 18115 18133 18151 18169 18172 18173 18187
18194 18195 18209 18290 18313 18331 18367 18370 18389 18392 18511 18524
18529 18532 18533 18583 18590 18700 18722 18726 18727 18734 18735 18744
18749 18752 18763 18766 18778 18779 18898 18902 18907 18911 18912 18920
18942 18943 18946 18951 18954 18964 18965 18972 19028 19046 19064 19082
19208 19226 19244 19262 19280 19406 19424 19442 19460 19482 19483 19486
19494 19604 19618 19621 19622 19640 19662 19666 19667 19674 19681 19684
19692 19802 19820 19842 19843 19846 19851 19854 19864 19865 19872 20011
20024 20029 20032 20033 20083 20090 20101 20110 20123 20128 20132 20139
20145 20146 20154 20157 20164 20167 20175 20176 20182 20189 20193 20198
20213 20231 20267 20270 20289 20292 20308 20312 20315 20321 20326 20333
20334 20343 20344 20351 20356 20365 20378 20387 20415 20433 20451 20469
20472 20473 20487 20494 20495 20514 20536 20541 20558 20563 20585 20617
20635 20653 20671 20689 20695 20696 20701 20716 20738 20761 20783 20819
20837 20855 20873 20891 20918 20981 21001 21010 21023 21028 21032 21039
21045 21046 21054 21057 21064 21067 21075 21076 21082 21089 21093 21098
21100 21122 21126 21127 21134 21135 21144 21149 21152 21163 21166 21178
21179 21203 21225 21230 21247 21252 21269 21274 21284 21296 21298 21299
21300 21302 21320 21342 21343 21346 21351 21354 21364 21365 21372 21405
21427 21449 21450 21472 21494 21496 21498 21500 21502 21504 21518 21521
21522 21540 21562 21566 21567 21574 21581 21584 21592 21607 21629 21670
21692 21694 21696 21698 21700 21702 21704 21706 21724 21742 21760 21782
21783 21786 21794 21809 21890 21892 21894 21896 21898 21900 21902 21904
21906 21908 21926 21944 21962 21980 22013 22031 22067 22070 22089 22092
22103 22125 22130 22147 22152 22169 22174 22184 22196 22199 22215 22233
22251 22269 22272 22273 22287 22294 22295 22301 22310 22323 22328 22332
22339 22345 22346 22354 22357 22364 22367 22375 22376 22382 22389 22393
22398 22417 22435 22453 22471 22489 22496 22499 22501 22508 22512 22515
22521 22526 22533 22534 22543 22544 22551 22556 22565 22578 22587 22619
22637 22655 22673 22691 22714 22736 22741 22758 22763 22785 22839 22857
22875 22893 22916 22938 22961 22983 23008 23012 23015 23021 23026 23033
23034 23043 23044 23051 23056 23065 23078 23087 23102 23120 23142 23143
23146 23151 23154 23164 23165 23172 23201 23210 23223 23228 23232 23239
23245 23246 23254 23257 23264 23267 23275 23276 23282 23289 23293 23298
23304 23318 23321 23322 23340 23362 23366 23367 23374 23381 23384 23392
23403 23425 23430 23447 23452 23469 23474 23484 23488 23492 23494 23496
23499 23506 23507 23524 23542 23560 23582 23583 23586 23594 23605 23627
23649 23650 23672 23686 23690 23692 23694 23696 23698 23702 23705 23708
23726 23744 23762 23780 23807 23829 23870 23888 23892 23898 23899 23904
23911 23928 23946 23964 23982 24015 24033 24051 24069 24072 24073 24087
24094 24095 24105 24127 24149 24150 24172 24194 24217 24235 24253 24271
24303 24325 24330 24347 24352 24369 24374 24384 24396 24399 24419 24437
24455 24473 24491 24501 24510 24523 24528 24532 24539 24545 24546 24554
24557 24564 24567 24575 24576 24582 24589 24593 24598 24639 24657 24675
24693 24708 24712 24715 24721 24726 24733 24734 24743 24744 24751 24756
24765 24778 24787 24859 24877 24895 24914 24936 24941 24958 24963 24985
25014 25036 25041 25058 25063 25085 25104 25118 25121 25122 25140 25162
25166 25167 25174 25181 25184 25192 25208 25212 25215 25221 25226 25233
25234 25243 25244 25251 25256 25265 25278 25287 25288 25294 25303 25306
25324 25342 25360 25382 25383 25386 25394 25401 25410 25423 25428 25432
25439 25445 25446 25454 25457 25464 25467 25475 25476 25482 25486 25489
25492 25493 25498 25501 25508 25526 25544 25562 25580 25603 25625 25630
25647 25652 25669 25674 25684 25696 25699 25728 25746 25764 25782 25805
25827 25849 25850 25872 25888 25894 25909 25948 25966 25984 26017 26035
26053 26071 26107 26129 26170 26192 26219 26237 26255 26273 26291 26305
26327 26349 26350 26372 26394 26439 26457 26475 26493 26503 26525 26530
26547 26552 26569 26574 26584 26596 26599 26659 26677 26695 26701 26710
26723 26728 26732 26739 26745 26746 26754 26757 26764 26767 26775 26776
26782 26789 26793 26798 26879 26897 26908 26912 26915 26921 26926 26933
26934 26943 26944 26951 26956 26965 26978 26987 27016 27038 27061 27083
27106 27124 27142 27160 27182 27183 27186 27194 27214 27236 27241 27258
27263 27285 27308 27326 27344 27362 27380 27408 27412 27415 27421 27426
27433 27434 27443 27444 27451 27456 27465 27478 27487 27528 27546 27564
27582 27601 27610 27623 27628 27632 27639 27645 27646 27654 27657 27664
27667 27675 27676 27682 27688 27689 27693 27698 27705 27748 27766 27784
27803 27825 27830 27847 27852 27869 27874 27884 27886 27896 27899 27903
27968 27986 28019 28037 28055 28073 28091 28109 28190 28239 28257 28275
28293 28307 28329 28370 28392 28459 28477 28495 28505 28527 28549 28550
28572 28594 28679 28697 28703 28725 28730 28747 28752 28769 28774 28784
28796 28799 28899 28901 28910 28923 28928 28932 28939 28945 28946 28954
28957 28964 28967 28975 28976 28982 28989 28993 28998 29018 29081 29108
29126 29144 29162 29180 29216 29238 29261 29283 29328 29346 29364 29382
29414 29436 29441 29458 29463 29485 29488 29501 29548 29566 29584 29608
29612 29615 29621 29626 29633 29634 29643 29644 29651 29656 29665 29678
29687 29768 29786 29801 29810 29823 29828 29832 29839 29845 29846 29854
29857 29864 29867 29875 29876 29882 29889 29893 29898 29988

"Sir, ask me a tough one." (Sgt Shaftoe in "Cryptonomicon").
If your From-address is valid, I could send you the source in
(QuickAndDirty(TM)) C.

[Jongware]
Eric A.
2006-12-04 16:56:01 UTC
Permalink
Post by [Jongware]
S'thing like this?
0 22 26 27 34 35 44 49 52 63 66 78 79 81 88 99 104 107 108 112 115 121 126 (...)
... killing me softly with his song !
.... again, Jongware, thanks 30002 times !
Best,
�.
(soon to appear in the OEIS)
r.e.s.
2006-12-05 00:48:02 UTC
Permalink
Post by Eric A.
0,11,13,17,18,25,28,54,55,64,65...
http://www.cetteadressecomportecinquantesignes.com/134.htm
You probably want to call 55 -> 65 -> 64 -> 54 -> 55
a "4-loop" intead of a "5-loop". (It's an attractor
with a period of 4.)

To help visualise the situation, here's a picture ...

Loading Image...

... showing the "basins of attraction" containing the
first few dozen trajectories given at your website.
(The corresponding attractors have periods 1,1,4,6,
and are drawn with blue arrows.)

Some questions that come to mind for this discrete
dynamical system (just throwing these out -- haven't
really thought much about them):

(1) Are there infinitely-many attractors?

(2) If there are infinitely-many attractors, which ones
(if any, besides 0) attract only finitely-many points?
All of them?

(3) What is the set of attractor periods? (E.g., we
have 1,4,6,... -- but are there none of period 2,3,5?)

(4) In listing the attractor-points in increasing order
as you've done, will some of the attractors overlap?
(E.g., is there any occurrence of ...,a,b,c,... where
a,c is part of one attractor and b is part of another?)

(5) How complicated does the structure of the attractor
basins become? (E.g., if there exists an attractor that
attracts infinitely-many points, do its "tributaries"
exhibit infinitely-many "forks"?)

--r.e.s.
Eric A.
2006-12-05 10:47:53 UTC
Permalink
Hello r.e.s.
Post by r.e.s.
To help visualise the situation, here's a picture ...
...waow, thanks, beautiful! I'll add it to my page this afternoon!
Post by r.e.s.
Some questions that come to mind (...)
... yes, I'm thinking about this with a friend of mine, here in
Brussels (Belgium)... We'll see what we can find...
Anyway, thanks 1000 times again !
Best,
�.
r.e.s.
2006-12-05 23:52:27 UTC
Permalink
For anyone interested, I've added a few trajectories to
the "flow diagram" at

http://r.s.home.mindspring.com/Misc/EricA--1.png

so it now shows one additional attractor. This is a bit
reminiscent of the discrete dynamic system described at

http://www.mathpages.com/home/kmath355.htm

--r.e.s.

Loading...