cp's OEIS Frontend

A333010 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.

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