A033111 Number of 9's when n is written in base b for 2<=b<=n+1.

0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 1, 4, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 6, 1, 2, 2, 3, 2, 4, 1, 3, 2, 4, 1, 5, 1, 2, 3, 3, 2, 4, 1, 5, 3

Offset

1,29

Links

Table of n, a(n) for n=1..90.

Mathematica

f[n_] := Count[Flatten@ Table[ IntegerDigits[n, b], {b, 2, n + 1}], 9]; Array[f, 90](* Robert G. Wilson v, Nov 14 2012 *)

Crossrefs

Cf. A033093, A033095, A033097, A033099, A033101, A033103, A033105, A033107, A033109, A033112.

Sequence in context: A373531 A226898 A338653 * A078313 A354601 A025827

Adjacent sequences: A033108 A033109 A033110 * A033112 A033113 A033114

Keyword

nonn,base

Author

Clark Kimberling

Status

approved