|
%I #9 Jul 14 2022 09:34:28
%S 0,2,1,6,4,12,3,8,7,16,13,14,5,10,11,26,9,24,23,28,20,22,21,18,17,32,
%T 15,46,19,30,29,40,25,42,34,48,36,38,37,44,31,52,33,54,39,58,27,74,35,
%U 56,55,68,41,70,43,50,49,64,45,66,60,72,63,62,57,76,59,80
%N Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, the balanced ternary expansion of n * a(n) contains as many negative trits as positive trits.
%C This sequence is a self-inverse permutation of the nonnegative integers.
%H Rémy Sigrist, <a href="/A355642/b355642.txt">Table of n, a(n) for n = 0..2187</a>
%H Rémy Sigrist, <a href="/A355642/a355642.gp.txt">PARI program</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e The first terms, alongside the balanced ternary expansion of n * a(n), are:
%e n a(n) bter(n*a(n))
%e -- ---- ------------
%e 0 0 0
%e 1 2 1T
%e 2 1 1T
%e 3 6 1T00
%e 4 4 1TT1
%e 5 12 1T1T0
%e 6 3 1T00
%e 7 8 1T01T
%e 8 7 1T01T
%e 9 16 1TT100
%e 10 13 1TTT11
%e 11 14 1T0T01
%e 12 5 1T1T0
%o (PARI) See Links section.
%Y See A306993 for a similar sequence.
%Y Cf. A065363, A174658, A355639.
%K nonn,base
%O 0,2
%A _Rémy Sigrist_, Jul 11 2022
|
