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%I #15 Jun 12 2021 14:08:57
%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,18,17,20,21,22,23,24,30,
%T 26,27,31,29,25,28,32,33,34,35,36,37,48,39,43,49,42,40,44,50,53,47,38,
%U 41,45,51,52,46,54,55,56,57,58,77,60,69,78,63,64,70,79,85
%N Bit-reverse the odd part of the Zeckendorf representation of n: a(n) = A022290(A057889(A003714(n))).
%C This sequence is a self-inverse permutation of the nonnegative integers.
%C This sequence is similar to A343150 and to A344682.
%H Rémy Sigrist, <a href="/A345201/b345201.txt">Table of n, a(n) for n = 0..10946</a>
%H Rémy Sigrist, <a href="/A345201/a345201.gp.txt">PARI program for A345201</a>
%H Rémy Sigrist, <a href="/A345201/a345201_1.gp.txt">Alternate PARI program for A345201</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(n) < A000045(k) for any n < A000045(k).
%o (PARI) See Links section.
%Y Cf. A000045, A003714, A022290, A057889, A343150, A344682.
%K nonn,base
%O 0,3
%A _Rémy Sigrist_, Jun 10 2021