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%I #12 Mar 08 2020 13:39:51
%S 1,3,6,2,4,9,7,14,5,12,18,10,11,15,28,19,29,22,20,36,37,23,30,13,24,8,
%T 16,33,25,38,21,44,39,31,56,17,26,42,40,34,41,76,72,35,57,77,45,46,27,
%U 58,43,59,47,60,50,80,66,81,70,82,74,83,78,84,164,73,79
%N Lexicographically earliest sequence of distinct positive integers such that the concatenation of the binary representations of the odd-indexed terms equals the concatenation of the binary representations of the even-indexed terms.
%C In other words, the first and second bisections have the same binary digits.
%C This sequence is a binary variant of A329127.
%H Rémy Sigrist, <a href="/A333010/b333010.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A333010/a333010.gp.txt">PARI program for A333010</a>
%e The first terms, alongside their binary representation, are:
%e n a(n) bin(a(n))
%e -- ---- -----------------------------
%e 1 1 1
%e 2 3 11
%e 3 6 110
%e 4 2 10
%e 5 4 100
%e 6 9 1001
%e 7 7 111
%e 8 14 1110
%e 9 5 101
%e 10 12 1100
%e 11 18 10010
%e 12 10 1010
%e 13 11 1011
%e 14 15 1111
%e 15 28 11100
%e 16 19 10011
%o (PARI) See Links section.
%Y Cf. A329127.
%K nonn,base
%O 1,2
%A _Rémy Sigrist_, Mar 05 2020
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