A033096 Number of 1's when k is written in base b for all b and k satisfying 2<=b<=n+1, 1<=k<=n.

1, 2, 5, 9, 15, 21, 30, 36, 46, 56, 68, 79, 95, 108, 123, 137, 153, 166, 184, 199, 220, 240, 261, 277, 301, 321, 344, 367, 393, 418, 450, 472, 498, 523, 548, 576, 610, 638, 670, 700, 735, 765, 802, 833, 868, 904, 939, 970, 1011, 1045

Offset

1,2

Links

Table of n, a(n) for n=1..50.

Mathematica

f[n_] := Count[ Flatten@ Table[ IntegerDigits[k, b], {k, n}, {b, 2, n + 1}], 1] - (n - 1); Array[f, 50] (* Robert G. Wilson v, Nov 14 2012 *)

Crossrefs

Cf. A033094, A033095, A033098, A033100, A033102, A033104, A033106, A033108, A033110, A033112.

Sequence in context: A013933 A101201 A184535 * A195014 A152738 A022941

Adjacent sequences: A033093 A033094 A033095 * A033097 A033098 A033099

Keyword

nonn,base

Author

Clark Kimberling

Status

approved