A033109 Number of 8's when n is written in base b for 2<=b<=n+1.

0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 3, 2, 1, 4, 1, 3, 2, 3, 1, 4, 2, 3, 2, 2, 1, 6, 1, 2, 3, 4, 3, 5, 2, 4, 3, 5, 2, 8, 2, 3, 4, 4, 3, 5, 2, 7, 5, 3

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Crossrefs

Cf. A033093, A033095, A033097, A033099, A033101, A033103, A033105, A033107, A033110, A033111.

Programs

Mathematica

f[n_] := Count[Flatten@ Table[ IntegerDigits[n, b], {b, 2, n + 1}], 8]; Array[f, 90] (* Robert G. Wilson v, Nov 14 2012 *)