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A338047 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)).

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%I A338047 #10 Oct 18 2020 22:32:02
%S A338047 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 A338047 48,52,64,65,66,68,69,72,73,75,77,79,80,81,82,85,92,93,95,98,126,128,
%U A338047 129,130,131,132,133,134,135,136,138,140,142,143,144,145,147
%N A338047 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 A338047 All powers of 2 appear in the sequence.
%H A338047 Rémy Sigrist, <a href="/A338047/b338047.txt">Table of n, a(n) for n = 0..8191</a>
%H A338047 Rémy Sigrist, <a href="/A338047/a338047.gp.txt">PARI program for A338047</a>
%e A338047 The first terms, alongside the corresponding XOR-triangle, are:
%e A338047                                             6
%e A338047                                         2       4
%e A338047                                    17      19      23
%e A338047                                29      12      31       8
%e A338047                             1      28      16      15       7
%e A338047                         0       1      29      13       2       5
%e A338047                     8       8       9      20      25      27      30
%e A338047                  7     15       7      14      26       3      24      6
%e A338047               2     5      10      13       3      25      26       2      4
%e A338047            1     3      6      12       1       2      27       1      3      7
%e A338047   a(n)| 0     1     2       4       8       9      11      16      17     18     21
%e A338047   ----+----------------------------------------------------------------------------
%e A338047   n   | 0     1     2       3       4       5       6       7       8      9     10
%o A338047 (PARI) See Links section.
%Y A338047 Cf. A001651 (additive analog), A003987.
%K A338047 nonn,base
%O A338047 0,3
%A A338047 _Rémy Sigrist_, Oct 08 2020