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%I #10 Oct 18 2020 22:32:02
%S 0,1,2,4,8,9,11,16,17,18,21,22,32,33,34,35,36,37,38,39,42,43,44,45,46,
%T 48,52,64,65,66,68,69,72,73,75,77,79,80,81,82,85,92,93,95,98,126,128,
%U 129,130,131,132,133,134,135,136,138,140,142,143,144,145,147
%N Lexicographically earliest sequence of nonnegative integers such that for any n >= 0, a(n) does not appear in the XOR-triangle with bottom row (a(0), ..., a(n-1)).
%C All powers of 2 appear in the sequence.
%H Rémy Sigrist, <a href="/A338047/b338047.txt">Table of n, a(n) for n = 0..8191</a>
%H Rémy Sigrist, <a href="/A338047/a338047.gp.txt">PARI program for A338047</a>
%e The first terms, alongside the corresponding XOR-triangle, are:
%e 6
%e 2 4
%e 17 19 23
%e 29 12 31 8
%e 1 28 16 15 7
%e 0 1 29 13 2 5
%e 8 8 9 20 25 27 30
%e 7 15 7 14 26 3 24 6
%e 2 5 10 13 3 25 26 2 4
%e 1 3 6 12 1 2 27 1 3 7
%e a(n)| 0 1 2 4 8 9 11 16 17 18 21
%e ----+----------------------------------------------------------------------------
%e n | 0 1 2 3 4 5 6 7 8 9 10
%o (PARI) See Links section.
%Y Cf. A001651 (additive analog), A003987.
%K nonn,base
%O 0,3
%A _Rémy Sigrist_, Oct 08 2020
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