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%I #9 Nov 03 2020 03:24:50
%S 0,1,5,4,9,8,17,16,25,24,37,21,33,20,13,45,32,29,40,48,65,36,53,72,61,
%T 52,80,57,93,64,85,49,81,88,56,96,117,100,68,125,105,116,101,120,112,
%U 73,89,137,84,109,141,180,113,133,160,132,161,152,121,144,128
%N Lexicographically earliest sequence of distinct nonnegative integers such that for any n > 0, a(1) XOR ... XOR a(n) is a square (where XOR denotes the bitwise XOR operator).
%C All terms belong to A042948.
%H Rémy Sigrist, <a href="/A338502/b338502.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A338502/a338502.gp.txt">PARI program for A338502</a>
%e The first terms, alongside a(1) XOR ... XOR a(n), are:
%e n a(n) a(1) AND ... AND a(n)
%e -- ---- ---------------------
%e 1 0 0 = 0^2
%e 2 1 1 = 1^2
%e 3 5 4 = 2^2
%e 4 4 0 = 0^2
%e 5 9 9 = 3^2
%e 6 8 1 = 1^2
%e 7 17 16 = 4^2
%e 8 16 0 = 0^2
%e 9 25 25 = 5^2
%e 10 24 1 = 1^2
%e 11 37 36 = 6^2
%e 12 21 49 = 7^2
%o (PARI) See Links section.
%Y Cf. A042948, A042964, A292388 (prime variant), A338503.
%K nonn,base
%O 1,3
%A _Rémy Sigrist_, Oct 31 2020
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