Collatz Streetmap: Difference between revisions
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imported>Gfis 3 ropes |
imported>Gfis 4 seqs |
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+1 *6+4 +1 *6+4 +1 *6+4 +1 *6+4 *6+2 = = ... | +1 *6+4 +1 *6+4 +1 *6+4 +1 *6+4 *6+2 = = ... | ||
143/104: [143 d 430 m 215 d 646 m 323 d 970 m 485 d 1456 m 728 m | 364, 182, 91, ... 10, 5, 16, 8, 4, 2, 1] | 143/104: [143 d 430 m 215 d 646 m 323 d 970 m 485 d 1456 m 728 m | 364, 182, 91, ... 10, 5, 16, 8, 4, 2, 1] | ||
* | * 3 adjacent sequences | ||
The pattern changes when a multiple of 3 is reached in the lower row: | |||
124/109: [124 m 62 m 31 d 94 m 47 d 142 m 71 d 214 m 107 d 322 m 161 d 484 m 242 m 121 d | 364 ... | 124/109: [124 m 62 m 31 d 94 m 47 d 142 m 71 d 214 m 107 d 322 m 161 d 484 m 242 m 121 d | 364 ... | ||
+1 *6+4 *6+2 = = = = = = = = = = = = ... | +1 *6+4 *6+2 = = = = = = = = = = = = ... | ||
125/109: [125 d 376 m 188 m 94 m 47 d 142 m 71 d 214 m 107 d 322 m 161 d 484 m 242 m 121 d | 364 ... | 125/109: [125 d 376 m 188 m 94 m 47 d 142 m 71 d 214 m 107 d 322 m 161 d 484 m 242 m 121 d | 364 ... | ||
+1 | +1 -4/6 +2 +1 *6+4 +1 *6+4 +1 *6+4 +1 *6+4 +1 *6+4 *6+2 = ... | ||
126/109: [126 m 63 d 190 m 95 d 286 m 143 d 430 m 215 d 646 m 323 d 970 m 485 d 1456 m 728 m | 364 ... | 126/109: [126 m 63 d 190 m 95 d 286 m 143 d 430 m 215 d 646 m 323 d 970 m 485 d 1456 m 728 m | 364 ... | ||
* 4 adjacent sequences | |||
314/38: [314 m 157 d 472 m 236 m 118 m 59 d 178 m 89 d 268 m 134 m 67 d 202 m 101 d 304 m 152 m 76 m 38 m | |||
+1 *6+4 +1 *6+4 *6+2 *6+1 *6-2 *6-1 *6-8 *6+4 *6-2 -2 -1 -4/6 -2/6 | |||
315/38: [315 d 946 m 473 d 1420 m 710 m 355 d 1066 m 533 d 1600 m 800 m 400 m 200 m 100 m 50 m 25 d 76 m 38 m | |||
+1 -2/6 +1/6 +8/6 +4/6 +3 +8/6 +5 +16/6 +8 +4 +2 +1 *6+4 *6+2 | |||
316/38: [316 m 158 m 79 d 238 m 119 d 358 m 179 d 538 m 269 d 808 m 404 m 202 m 101 d 304 m 152 m 76 m 38 m | |||
+1 *6+4 *6+2 = = = * * = = = = = = = | |||
317/38: [317 d 952 m 476 d 238 m 119 d 358 m 179 d 538 m 269 d 808 m 404 m 202 m 101 d 304 m 152 m 76 m 38 m | |||
* 5 adjacent sequences | |||
86/121: [386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71 | |||
87/121: [387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71 | |||
88/121: [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71 | |||
89/121: [389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71 | |||
90/121: [390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71 | |||
418/41: [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, | |||
419/41: [419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, | |||
420/41: [420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, | |||
421/41: [421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, | |||
422/41: [422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, | |||
Revision as of 18:41, 19 August 2018
- File of first 10K Collatz sequences, ascending start values, with lengths
- The Collatz-Problem. A view into some 3x+1-trees and a new fractal graphic representation. Gottfried Helms, Univ. Kassel
- Collatzfolgen und Schachbrett auf Wikibooks
Patterns in similiar sequences
- 142, 143 with same length (from A070165):
142/104: [142 m 71 d 214 m 107 d 322 m 161 d 484 m 242 m 121 d | 364, 182, 91, ... 10, 5, 16, 8, 4, 2, 1]
+1 *6+4 +1 *6+4 +1 *6+4 +1 *6+4 *6+2 = = ...
143/104: [143 d 430 m 215 d 646 m 323 d 970 m 485 d 1456 m 728 m | 364, 182, 91, ... 10, 5, 16, 8, 4, 2, 1]
- 3 adjacent sequences
The pattern changes when a multiple of 3 is reached in the lower row:
124/109: [124 m 62 m 31 d 94 m 47 d 142 m 71 d 214 m 107 d 322 m 161 d 484 m 242 m 121 d | 364 ...
+1 *6+4 *6+2 = = = = = = = = = = = = ...
125/109: [125 d 376 m 188 m 94 m 47 d 142 m 71 d 214 m 107 d 322 m 161 d 484 m 242 m 121 d | 364 ...
+1 -4/6 +2 +1 *6+4 +1 *6+4 +1 *6+4 +1 *6+4 +1 *6+4 *6+2 = ...
126/109: [126 m 63 d 190 m 95 d 286 m 143 d 430 m 215 d 646 m 323 d 970 m 485 d 1456 m 728 m | 364 ...
- 4 adjacent sequences
314/38: [314 m 157 d 472 m 236 m 118 m 59 d 178 m 89 d 268 m 134 m 67 d 202 m 101 d 304 m 152 m 76 m 38 m
+1 *6+4 +1 *6+4 *6+2 *6+1 *6-2 *6-1 *6-8 *6+4 *6-2 -2 -1 -4/6 -2/6
315/38: [315 d 946 m 473 d 1420 m 710 m 355 d 1066 m 533 d 1600 m 800 m 400 m 200 m 100 m 50 m 25 d 76 m 38 m
+1 -2/6 +1/6 +8/6 +4/6 +3 +8/6 +5 +16/6 +8 +4 +2 +1 *6+4 *6+2
316/38: [316 m 158 m 79 d 238 m 119 d 358 m 179 d 538 m 269 d 808 m 404 m 202 m 101 d 304 m 152 m 76 m 38 m
+1 *6+4 *6+2 = = = * * = = = = = = =
317/38: [317 d 952 m 476 d 238 m 119 d 358 m 179 d 538 m 269 d 808 m 404 m 202 m 101 d 304 m 152 m 76 m 38 m
- 5 adjacent sequences
86/121: [386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71 87/121: [387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71 88/121: [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71 89/121: [389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71 90/121: [390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71
418/41: [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 419/41: [419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 420/41: [420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 421/41: [421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 422/41: [422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101,