[seqfan] Odd and even fractal permutations

Eric Angelini Eric.Angelini at kntv.be
Thu Nov 20 18:41:15 CET 2014


Hello SeqFans,
interleave properly the even numbers https://oeis.org/A005843
and the odd numbers https://oeis.org/A005408 to get S where
the successive sizes of [odd numbers chunks] are given by S 
itself (S is a fractal permutation of the non-negative 
integers):

S =  0,1,2,3,5,4,7,9,11,6,13,15,17,19,21,8,23,25,27,29,10,31,33,35,37,39,41,43,12,...

S =  0,1,2,3,5,4,7,9,11,6,13,15,17,19,21,8,23,25,27,29,10,31,33,35,37,39,41,43,12,...
    0  1    2      3            5               4                   7

... The equivalent seq for [even number chunks] would be T:

T = 1,2,3,4,6,5,8,10,12,7,14,16,18,20,9,22,24,26,28,30,32,11,34,36,38,40,42,13,...
      1    2       3           4                6                   5

... No possible zero here - so is T only a fractal permutation of the integers > 0

Best,
É.




 
 





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