cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A366062 Lexicographically earliest infinite sequence of distinct nonnegative integers such that for any k > 0, the k-th binary digit in the even bisection is different from the k-th binary digit in the odd bisection.

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%I A366062 #7 Oct 02 2023 13:49:11
%S A366062 0,2,4,1,3,8,5,9,16,14,10,20,6,11,17,18,21,19,32,28,12,13,33,56,24,29,
%T A366062 34,26,22,36,25,48,57,49,50,40,58,41,51,35,64,7,15,65,37,80,59,66,52,
%U A366062 27,67,96,112,30,23,128,60,53,81,97,113,98,104,114,105,99
%N A366062 Lexicographically earliest infinite sequence of distinct nonnegative integers such that for any k > 0, the k-th binary digit in the even bisection is different from the k-th binary digit in the odd bisection.
%C A366062 Leading zeros in binary expansions of positive values are ignored.
%C A366062 Is this sequence a permutation of the nonnegative integers?
%H A366062 Rémy Sigrist, <a href="/A366062/a366062.gp.txt">PARI program</a>
%e A366062 The even and odd bisections, in decimal and in binary, begin as follows:
%e A366062 a(2n)        |0|  4  | 3 |  5  |   16    |  10   |  6  |   17    |   21    |...
%e A366062 bin(a(2n))   |0|1 0 0|1 1|1 0 1|1 0 0 0 0|1 0 1 0|1 1 0|1 0 0 0 1|1 0 1 0 1|...
%e A366062 bin(a(2n+1)) |1 0|1|1 0 0 0|1 0 0 1|1 1 1 0|1 0 1 0 0|1 0 1 1|1 0 0 1 0|...
%e A366062 a(2n+1)      | 2 |1|   8   |   9   |  14   |   20    |  11   |   18    |...
%o A366062 (PARI) See Links section.
%Y A366062 Cf. A333010.
%K A366062 nonn,base
%O A366062 0,2
%A A366062 _Rémy Sigrist_, Sep 27 2023