A033106 Number of 6's when k is written in base b for all b and k satisfying 2<=b<=n+1, 1<=k<=n.

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 16, 17, 19, 21, 23, 24, 27, 28, 30, 32, 35, 36, 39, 40, 43, 45, 47, 49, 54, 56, 59, 62, 67, 69, 75, 77, 81, 85, 88, 90, 97, 101, 105, 108, 112, 114, 120, 124, 131, 134, 137

Offset

1,13

Links

Table of n, a(n) for n=1..64.

Mathematica

f[n_] := Count[ Flatten@ Table[ IntegerDigits[k, b], {k, n}, {b, 2, n + 1}], 6] - (n - 6); f[1] = f[2] = f[3] = f[4] = f[5] = 0; Array[f, 64] (* Robert G. Wilson v, Nov 14 2012 *)

Crossrefs

Cf. A033094, A033096, A033098, A033100, A033102, A033104, A033105, A033108, A033110, A033112.

Sequence in context: A374129 A365406 A342081 * A119485 A058363 A049810

Adjacent sequences: A033103 A033104 A033105 * A033107 A033108 A033109

Keyword

nonn,base

Author

Clark Kimberling

Status

approved