A070177 Number of partitions of 10^n.

1, 42, 190569292, 24061467864032622473692149727991, 36167251325636293988820471890953695495016030339315650422081868605887952568754066420592310556052906916435144

Offset: 0

Author

Eric W. Weisstein, Apr 24 2002

Keywords

• nonn

Comments

The next term a(5)=~2.749351*10^346 is too large to include.

Johansson computes the terms up to a(19). - Charles R Greathouse IV, Jul 09 2012

Links

• Robert G. Wilson v, Table of n, a(n) for n = 0..7
• Fredrik Johansson, Efficient implementation of the Hardy-Ramanujan-Rademacher formula, arXiv:1205.5991 [math.NT], 2012, preprint; DOI, LMS J. Comput. Math. 15 (2012) 341-359.
• Eric Weisstein's World of Mathematics, Partition Function P

Crossrefs

Cf. A000041, A011557.

Programs

Mathematica

Table[ PartitionsP[10^n], {n, 0, 4}] (* Robert G. Wilson v, Nov 14 2005 *)

PARI

a(n) = numbpart(10^n); \\ Michel Marcus, Oct 03 2014

Formula

a(n) = A000041(A011557(n)). - Michel Marcus, Sep 29 2020

Extensions

More terms from Vladeta Jovovic, May 03 2002