A173529 a(n) = 1 + A053830(n-1), where A053830 is the sum of the digits of its argument in base 9.

1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, 10, 3, 4, 5, 6, 7, 8, 9, 10, 11, 4, 5, 6, 7, 8, 9, 10, 11, 12, 5, 6, 7, 8, 9, 10, 11, 12, 13, 6, 7, 8, 9, 10, 11, 12, 13, 14, 7, 8, 9, 10, 11, 12, 13, 14, 15, 8, 9, 10, 11, 12, 13, 14, 15, 16, 9, 10, 11, 12, 13, 14, 15, 16, 17, 2, 3, 4, 5, 6, 7, 8, 9, 10, 3, 4, 5, 6, 7, 8, 9, 10, 11, 4

Offset

1,2

Comments

If A053830 is regarded as a triangle then the rows converge to this sequence.

This is the case b=9 of a non-periodic sequence, with key formulas and definitions provided with b=5 in A173525. Case b=2 is in A063787, and cases b=3 to 8 are in A173523 to A173528.

Links

Table of n, a(n) for n=1..100.

Formula

a(n) = A053830(9^k + n - 1) where k >= ceiling(log_9(n/8)). - R. J. Mathar, Dec 09 2010

Mathematica

Table[1 + Plus@@IntegerDigits[n - 1, 9], {n, 90}] (* Vincenzo Librandi, Jul 01 2019 *)

Crossrefs

Cf. A000120, A053830, A063787, A173523, A173524, A173525, A173526, A173527, A173528.

Sequence in context: A227876 A276716 A189506 * A273005 A093017 A156230

Adjacent sequences: A173526 A173527 A173528 * A173530 A173531 A173532

Keyword

nonn,base

Author

Omar E. Pol, Feb 23 2010

Status

approved