[seqfan] Two seq. describing each others increasing/decreasing runs of integers

Eric Angelini Eric.Angelini at kntv.be
Tue Jun 22 18:31:47 CEST 2010



Si=1,4,3,9,10,11,12,13,14,16,15,20,21,22,23,24,26,25,36,37,38,39,41,
   40,52,53,54,56,55,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,85,99,100,...

Sd=2,8,7,6,5,19,18,17,35,34,33,32,31,30,29,28,27,51,50,49,48,47,46,45,44,43,42,
   67,66,65,64,63,62,61,60,59,58,57,98,97,96,95,94,93,92,91,90,89,88,87,...

The size of the increasing runs of integers in Si are given by Sd
The size of the decreasing runs of integers in Sd are given by Si

Example:

Si=1,4,3,9,10,11,12,13,14,16,15,20,21,22,23,24,26,25,36,37,38,39,41,
   . . + +  +  +  +  +  +  +  .  .  .  .  .  .  .  +  +  +  +  +  +
    2            8                     7                   6

Sd=2,8,7,6,5,19,18,17,35,34,33,32,31,30,29,28,27,51,50,49,48,47,46,45,44,43,42,  
   . - - - -  .  .  .  -  -  -  -  -  -  -  -  -  .  .  .  .  .  .  .  .  .  .
   1    4        3                 9                           10

Best,
É.





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