[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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