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, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, ... 10, 5, 16, 8, 4, 2, 1]
  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, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, ... 10, 5, 16, 8, 4, 2, 1]
            +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]
* 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

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 ...