A113015 Number of decimal digits in B(10^n) where B(k) is the k-th Bell number.

1, 6, 116, 1928, 27665, 364472, 4547586, 54670463, 639838113, 7338610159, 82857366967

Offset: 0

Author

Eric W. Weisstein, Oct 10 2005

Keywords

• nonn
• base

Links

• Eric Weisstein's World of Mathematics, Bell Number

Crossrefs

Cf. A000110.

Programs

Mathematica

f[n_] := Sum[ StirlingS2[n, k], {k, n}]; Table[ Length[ IntegerDigits[ f[10^n]]], {n, 0, 4}] (* Robert G. Wilson v, Oct 12 2005 *)

Formula

a(n) ~ 10^n * n. - Charles R Greathouse IV, Aug 11 2011

Extensions

a(5)-a(10) from Charles R Greathouse IV, Aug 11 2011