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%I #23 Oct 31 2024 01:28:08
%S 0,1,3,2,6,7,4,5,12,13,15,14,8,9,11,10,24,25,27,26,30,31,28,29,16,17,
%T 19,18,22,23,20,21,48,49,51,50,54,55,52,53,60,61,63,62,56,57,59,58,32,
%U 33,35,34,38,39,36,37,44,45,47,46,40,41,43,42,96,97,99,98
%N a(n) is the greatest k not yet in the sequence such that A374356(n) = A374356(k).
%C This sequence is a self-inverse permutation of the nonnegative integers that preserves the binary length.
%H Rémy Sigrist, <a href="/A377355/b377355.txt">Table of n, a(n) for n = 0..8191</a>
%H Rémy Sigrist, <a href="/A377355/a377355.gp.txt">PARI program</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e The first terms are:
%e n a(n) A374356(n) A374356(a(n))
%e -- ---- ---------- -------------
%e 0 0 0 0
%e 1 1 1 1
%e 2 3 2 2
%e 3 2 2 2
%e 4 6 4 4
%e 5 7 5 5
%e 6 4 4 4
%e 7 5 5 5
%e 8 12 8 8
%e 9 13 9 9
%e 10 15 10 10
%e 11 14 10 10
%e 12 8 8 8
%e 13 9 9 9
%e 14 11 10 10
%e 15 10 10 10
%o (PARI) \\ See Links section.
%Y Cf. A374356.
%K nonn,base
%O 0,3
%A _Rémy Sigrist_, Oct 27 2024