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A343604 a(n) is the least number > n with the same sum of balanced ternary digits as n.

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%I A343604 #10 Apr 25 2021 15:13:45
%S A343604 2,3,6,7,10,15,8,9,16,11,12,19,22,31,42,17,18,23,20,21,24,25,28,43,26,
%T A343604 27,32,29,30,33,34,37,46,35,36,49,38,39,58,67,94,123,44,45,50,47,48,
%U A343604 51,52,55,68,53,54,59,56,57,60,61,64,69,62,63,70,65,66,73
%N A343604 a(n) is the least number > n with the same sum of balanced ternary digits as n.
%C A343604 This sequence can be extended to negative indexes by setting a(-n) = -A343605(n) for any n > 0.
%H A343604 Rémy Sigrist, <a href="/A343604/b343604.txt">Table of n, a(n) for n = 0..10000</a>
%F A343604 a(9*n) = 9*n + 2.
%F A343604 a(A174658(n)) = A174658(n+1).
%e A343604 The first terms, in base 10 and in balanced ternary (where T denotes the digit -1), alongside A065363(n), are:
%e A343604   n   a(n)  bter(n)  bter(a(n))  A065363(n)
%e A343604   --  ----  -------  ----------  ----------
%e A343604    0     2        0          1T           0
%e A343604    1     3        1          10           1
%e A343604    2     6       1T         1T0           0
%e A343604    3     7       10         1T1           1
%e A343604    4    10       11         101           2
%e A343604    5    15      1TT        1TT0          -1
%e A343604    6     8      1T0         10T           0
%e A343604    7     9      1T1         100           1
%e A343604    8    16      10T        1TT1           0
%e A343604    9    11      100         11T           1
%e A343604   10    12      101         110           2
%e A343604   11    19      11T        1T01           1
%e A343604   12    22      110        1T11           2
%o A343604 (PARI) A065363(n) = { my (v=0, d); while (n, v+=d=centerlift(Mod(n,3)); n=(n-d)\3); v }
%o A343604 a(n) = my (s=A065363(n)); for (k=n+1, oo, if (s==A065363(k), return (k)))
%Y A343604 Cf. A057168, A065363, A174658, A228915, A319021, A343605.
%K A343604 nonn,base
%O A343604 0,1
%A A343604 _Rémy Sigrist_, Apr 22 2021