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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.

A371267 Lexicographically latest sequence of distinct nonnegative integers such that the run lengths transforms of the balanced ternary expansions of n and of a(n) are the same.

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%I A371267 #15 Apr 01 2024 12:09:40
%S A371267 0,1,3,2,4,9,10,8,7,5,6,12,11,13,27,28,26,30,31,29,25,24,23,22,21,20,
%T A371267 16,14,15,19,17,18,36,37,35,34,32,33,39,38,40,81,82,80,84,85,83,79,78,
%U A371267 77,90,91,89,93,94,92,88,87,86,76,75,74,73,72,71,70,69,68
%N A371267 Lexicographically latest sequence of distinct nonnegative integers such that the run lengths transforms of the balanced ternary expansions of n and of a(n) are the same.
%C A371267 This sequence is a self-inverse permutation of the nonnegative integers.
%H A371267 Rémy Sigrist, <a href="/A371267/b371267.txt">Table of n, a(n) for n = 0..9841</a>
%H A371267 Rémy Sigrist, <a href="/A371267/a371267.gp.txt">PARI program</a>
%H A371267 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A371267 A371263(a(n)) = A371263(n).
%F A371267 a(n) = n iff n belongs to A003462.
%e A371267 The first terms, in decimal and in balanced ternary, are:
%e A371267   n   a(n)  bter(n)  bter(a(n))
%e A371267   --  ----  -------  ----------
%e A371267    0     0        0           0
%e A371267    1     1        1           1
%e A371267    2     3       1T          10
%e A371267    3     2       10          1T
%e A371267    4     4       11          11
%e A371267    5     9      1TT         100
%e A371267    6    10      1T0         101
%e A371267    7     8      1T1         10T
%e A371267    8     7      10T         1T1
%e A371267    9     5      100         1TT
%e A371267   10     6      101         1T0
%e A371267   11    12      11T         110
%e A371267   12    11      110         11T
%e A371267   13    13      111         111
%e A371267   14    27     1TTT        1000
%e A371267   15    28     1TT0        1001
%o A371267 (PARI) \\ See Links section.
%Y A371267 See A371261 for a similar sequence.
%Y A371267 Cf. A003462 (fixed points), A371263.
%K A371267 nonn,base
%O A371267 0,3
%A A371267 _Rémy Sigrist_, Mar 16 2024