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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 ...