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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.)