A033101 Number of 4's when n is written in base b for 2<=b<=n+1.

0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 3, 2, 4, 2, 5, 3, 3, 2, 6, 4, 3, 3, 5, 3, 7, 2, 5, 4, 4, 5, 7, 3, 4, 4, 8, 4, 8, 4, 7, 8, 4, 3, 9, 5, 7, 4, 6, 4, 8, 6, 9, 6, 6, 5, 13, 5, 5, 7, 8, 7, 9, 5, 8, 7, 11, 4, 12, 6, 7, 9, 8, 8, 10, 6, 12, 7, 6, 5, 13

Offset

1,14

Links

Table of n, a(n) for n=1..88.

Mathematica

f[n_] := Count[Flatten@ Table[ IntegerDigits[n, b], {b, 2, n + 1}], 4]; Array[f, 88] (* Robert G. Wilson v, Nov 14 2012 *)

Crossrefs

Cf. A033093, A033095, A033097, A033099, A033102, A033103, A033105, A033107, A033109, A033111.

Sequence in context: A008682 A112224 A058774 * A220413 A371128 A029217

Adjacent sequences: A033098 A033099 A033100 * A033102 A033103 A033104

Keyword

nonn,base

Author

Clark Kimberling

Status

approved