A033102 Number of 4's when k is written in base b for all b and k satisfying 2<=b<=n+1, 1<=k<=n.

0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 16, 19, 21, 25, 27, 32, 35, 38, 40, 46, 50, 53, 56, 61, 64, 71, 73, 78, 82, 86, 91, 98, 101, 105, 109, 117, 121, 129, 133, 140, 148, 152, 155, 164, 169, 176, 180, 186, 190, 198, 204

Offset

1,9

Links

Table of n, a(n) for n=1..59.

Mathematica

f[n_] := Count[ Flatten@ Table[ IntegerDigits[k, b], {k, n}, {b, 2, n + 1}], 4] - (n - 4); f[1] = f[2] = f[3] = 0; Array[f, 59] (* Robert G. Wilson v, Nov 14 2012 *)

Crossrefs

Cf. A033094, A033096, A033098, A033100, A033101, A033104, A033106, A033108, A033110, A033112.

Sequence in context: A308017 A184107 A326583 * A295796 A030789 A030749

Adjacent sequences: A033099 A033100 A033101 * A033103 A033104 A033105

Keyword

nonn,base

Author

Clark Kimberling

Status

approved