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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.

A377355 a(n) is the greatest k not yet in the sequence such that A374356(n) = A374356(k).

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%I A377355 #23 Oct 31 2024 01:28:08
%S A377355 0,1,3,2,6,7,4,5,12,13,15,14,8,9,11,10,24,25,27,26,30,31,28,29,16,17,
%T A377355 19,18,22,23,20,21,48,49,51,50,54,55,52,53,60,61,63,62,56,57,59,58,32,
%U A377355 33,35,34,38,39,36,37,44,45,47,46,40,41,43,42,96,97,99,98
%N A377355 a(n) is the greatest k not yet in the sequence such that A374356(n) = A374356(k).
%C A377355 This sequence is a self-inverse permutation of the nonnegative integers that preserves the binary length.
%H A377355 Rémy Sigrist, <a href="/A377355/b377355.txt">Table of n, a(n) for n = 0..8191</a>
%H A377355 Rémy Sigrist, <a href="/A377355/a377355.gp.txt">PARI program</a>
%H A377355 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e A377355 The first terms are:
%e A377355   n   a(n)  A374356(n)  A374356(a(n))
%e A377355   --  ----  ----------  -------------
%e A377355    0     0           0              0
%e A377355    1     1           1              1
%e A377355    2     3           2              2
%e A377355    3     2           2              2
%e A377355    4     6           4              4
%e A377355    5     7           5              5
%e A377355    6     4           4              4
%e A377355    7     5           5              5
%e A377355    8    12           8              8
%e A377355    9    13           9              9
%e A377355   10    15          10             10
%e A377355   11    14          10             10
%e A377355   12     8           8              8
%e A377355   13     9           9              9
%e A377355   14    11          10             10
%e A377355   15    10          10             10
%o A377355 (PARI) \\ See Links section.
%Y A377355 Cf. A374356.
%K A377355 nonn,base
%O A377355 0,3
%A A377355 _Rémy Sigrist_, Oct 27 2024