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%I #10 May 16 2018 20:06:52
%S 0,1,3,2,6,4,36,32,33,41,8,9,11,10,14,12,44,40,45,5,7,15,13,47,34,35,
%T 43,42,46,38,4134,4096,4097,4099,4098,4102,4100,4132,4128,4129,4145,
%U 16,17,19,18,22,20,52,48,49,57,24,25,27,26,30,28,60,56,61,21,23,31,29,63,50,51,59,58,62,54,4150,4112,4113,4115,4114,4118,4116,4148,4144,4149,37
%N Suspected permutation of nonnegative integers: a(n) = A052331(A304531(1+n)).
%C All nonnegative integers occur provided that A304531 is a permutation of natural numbers.
%C Shares with sequences like A003188, A006068, A300838, A302846, A303765, A303767 and A304083 the property that when moving from any a(n) to a(n+1) either a subset of 0-bits are toggled on (changed to 1's), or a subset of 1-bits are toggled off (changed to 0's), but no both kind of changes may occur at the same step.
%H Antti Karttunen, <a href="/A304533/b304533.txt">Table of n, a(n) for n = 0..8446</a>
%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(n) = A052331(A304531(1+n)).
%F For all n >= 0, A000120(a(n)) = A304536(n), A019565(a(n)) = A304537(n).
%o (PARI) A304533(n) = A052331(A304531(1+n));
%Y Cf. A304534 (inverse).
%Y Cf. A052331, A304531, A304535, A304536, A304537.
%K nonn
%O 0,3
%A _Antti Karttunen_, May 14 2018
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