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%I #11 Dec 06 2022 07:50:05
%S 0,1,2,3,4,8,5,10,16,32,6,9,48,64,128,7,24,96,256,512,1024,11,20,160,
%T 320,1536,2048,4096,12,17,34,192,768,3072,8192,16384,13,18,224,1280,
%U 2560,12288,32768,65536,131072,14,33,80,384,3584,20480,40960,196608,262144,524288
%N Regular table of distinct nonnegative integers built by greedy algorithm such the binary expansions of two distinct terms in the same row have no common 1's.
%C This sequence is a variant of A076034, and is a bijection from the positive integers to the nonnegative integers (with inverse A358876).
%C Powers of 2 appear in natural order.
%H Rémy Sigrist, <a href="/A358875/b358875.txt">Table of n, a(n) for n = 1..10011</a>
%H Rémy Sigrist, <a href="/A358875/a358875.gp.txt">PARI program</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e Table begins:
%e 0,
%e 1, 2,
%e 3, 4, 8,
%e 5, 10, 16, 32,
%e 6, 9, 48, 64, 128,
%e 7, 24, 96, 256, 512, 1024,
%e 11, 20, 160, 320, 1536, 2048, 4096,
%e 12, 17, 34, 192, 768, 3072, 8192, 16384,
%e 13, 18, 224, 1280, 2560, 12288, 32768, 65536, 131072,
%e ...
%o (PARI) See Links section.
%Y Cf. A076034, A358876 (inverse).
%K nonn,base,tabl
%O 1,3
%A _Rémy Sigrist_, Dec 04 2022
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