%I #7 Apr 30 2017 11:49:50
%S 0,1,2,3,4,5,6,7,8,12,10,11,9,13,17,15,16,14,24,19,20,21,25,23,18,22,
%T 26,39,28,29,30,37,32,33,34,38,36,31,35,27,40,53,45,49,44,42,46,47,48,
%U 43,50,51,52,41,78,55,56,57,73,59,60,61,74,75,64,65,66,79
%N Self-inverse permutation: in base 3, reverse the lengths of runs of consecutive equal digits.
%C This sequence can be seen as an analog of A056539 for the base 3.
%C For any n>=0, n and a(n) have the same number of digits in base 3.
%H Rémy Sigrist, <a href="/A285916/b285916.txt">Table of n, a(n) for n = 0..6560</a>
%H Rémy Sigrist, <a href="/A285916/a285916.gp.txt">PARI program for A285916</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e The first terms for which n<>a(n) are:
%e Decimal: Base 3:
%e n a(n) n a(n)
%e - ---- --- ----
%e 9 12 100 110
%e 12 9 110 100
%e 14 17 112 122
%e 17 14 122 112
%e 18 24 200 220
%e 22 25 211 221
%e 24 18 220 200
%e 25 22 221 211
%e 27 39 1000 1110
%e 31 37 1011 1101
%e 35 38 1022 1102
%e 37 31 1101 1011
%e 38 35 1102 1022
%e 39 27 1110 1000
%e 41 53 1112 1222
%e 42 45 1120 1200
%Y Cf. A056539.
%K nonn,base,look
%O 0,3
%A _Rémy Sigrist_, Apr 28 2017