Collatz Streetmap: Difference between revisions
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imported>Gfis Links and patterns |
imported>Gfis 3 ropes |
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===Patterns in similiar sequences=== | ===Patterns in similiar sequences=== | ||
* 142, 143 with same length (from [https://oeis.org/A070165 A070165]): | * 142, 143 with same length (from [https://oeis.org/A070165 A070165]): | ||
142/104: [142 | 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] | ||
143/104: [143 | +1 *6+4 +1 *6+4 +1 *6+4 +1 *6+4 *6+2 = = ... | ||
+1 *6+4 +1 *6+4 | 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] | ||
* Continued to the left, this 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 ... |
Revision as of 17:30, 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]
- Continued to the left, this 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 ...