A033105 Number of 6's when n is written in base b for 2<=b<=n+1.

0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 2, 5, 2, 3, 3, 5, 2, 6, 2, 4, 4, 3, 2, 7, 4, 4, 3, 4, 2, 6, 4, 7, 3, 3, 2, 8, 3, 4, 6, 5, 3, 6, 3, 5, 4, 7, 2, 9, 3, 4, 5, 5, 5, 6, 3, 8, 5, 4, 3, 10

Offset

1,20

Links

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

Mathematica

f[n_] := Count[Flatten@ Table[ IntegerDigits[n, b], {b, 2, n + 1}], 6]; Array[f, 90] (* Robert G. Wilson v, Nov 14 2012 *)

Crossrefs

Cf. A033093, A033095, A033097, A033099, A033101, A033103, A033106, A033107, A033109, A033111.

Sequence in context: A117277 A033831 A338650 * A106703 A127267 A268173

Adjacent sequences: A033102 A033103 A033104 * A033106 A033107 A033108

Keyword

nonn,base

Author

Clark Kimberling

Status

approved