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.

A374991 Lexicographically earliest sequence of distinct nonnegative integers such that the concatenation of the binary expansions of two consecutive terms, in at least one way, and after removal of trailing digits, is palindromic.

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%I A374991 #6 Jul 28 2024 10:07:18
%S A374991 0,1,2,3,4,7,6,11,5,10,8,13,16,15,12,19,9,18,36,32,22,26,23,14,28,31,
%T A374991 24,29,46,58,47,20,37,41,74,72,39,25,38,50,76,51,102,103,57,48,54,27,
%U A374991 44,52,75,82,64,42,21,43,53,86,40,45,80,89,77,144,79,60,30
%N A374991 Lexicographically earliest sequence of distinct nonnegative integers such that the concatenation of the binary expansions of two consecutive terms, in at least one way, and after removal of trailing digits, is palindromic.
%H A374991 Rémy Sigrist, <a href="/A374991/a374991.gp.txt">PARI program</a>
%e A374991 The first terms, in decimal and in binary, alongside an appropriate palindrome (with dots denoting the removed trailing zeros), are:
%e A374991   n   a(n)  bin(a(n))  palindrome
%e A374991   --  ----  ---------  ----------
%e A374991    0     0          0           1
%e A374991    1     1          1         11.
%e A374991    2     2         10        111.
%e A374991    3     3         11       111..
%e A374991    4     4        100      1111..
%e A374991    5     7        111      11111.
%e A374991    6     6        110     1101011
%e A374991    7    11       1011     1011101
%e A374991    8     5        101     101101.
%e A374991    9    10       1010    10101...
%e A374991   10     8       1000    11011...
%e A374991   11    13       1101   11011....
%e A374991   12    16      10000   11111....
%o A374991 (PARI) \\ See Links section.
%Y A374991 Cf. A000975, A057890, A374990.
%K A374991 nonn,base
%O A374991 0,3
%A A374991 _Rémy Sigrist_, Jul 26 2024