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 A343604 a(n) is the least number > n with the same sum of balanced ternary digits as n. 2
 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, 27, 32, 29, 30, 33, 34, 37, 46, 35, 36, 49, 38, 39, 58, 67, 94, 123, 44, 45, 50, 47, 48, 51, 52, 55, 68, 53, 54, 59, 56, 57, 60, 61, 64, 69, 62, 63, 70, 65, 66, 73 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This sequence can be extended to negative indexes by setting a(-n) = -A343605(n) for any n > 0. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..10000 FORMULA a(9*n) = 9*n + 2. a(A174658(n)) = A174658(n+1). EXAMPLE The first terms, in base 10 and in balanced ternary (where T denotes the digit -1), alongside A065363(n), are:   n   a(n)  bter(n)  bter(a(n))  A065363(n)   --  ----  -------  ----------  ----------    0     2        0          1T           0    1     3        1          10           1    2     6       1T         1T0           0    3     7       10         1T1           1    4    10       11         101           2    5    15      1TT        1TT0          -1    6     8      1T0         10T           0    7     9      1T1         100           1    8    16      10T        1TT1           0    9    11      100         11T           1   10    12      101         110           2   11    19      11T        1T01           1   12    22      110        1T11           2 PROG (PARI) A065363(n) = { my (v=0, d); while (n, v+=d=centerlift(Mod(n, 3)); n=(n-d)\3); v } a(n) = my (s=A065363(n)); for (k=n+1, oo, if (s==A065363(k), return (k))) CROSSREFS Cf. A057168, A065363, A174658, A228915, A319021, A343605. Sequence in context: A240212 A333551 A093677 * A288672 A086495 A051733 Adjacent sequences:  A343601 A343602 A343603 * A343605 A343606 A343607 KEYWORD nonn,base AUTHOR Rémy Sigrist, Apr 22 2021 STATUS approved

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Last modified January 23 14:29 EST 2022. Contains 350512 sequences. (Running on oeis4.)