A069878 Number of partitions of 10^n into distinct parts.

1, 10, 444793, 8635565795744155161506, 1122606574548038398976040173670530159089991444775125551802871247408332723840

Offset: 0

Author

Robert G. Wilson v, May 03 2002

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..6

Crossrefs

Row 10 of A347621.

Cf. A000009, A011557, A064682, A067735 & A070177.

Programs

Mathematica

Table[ PartitionsQ[10^n], {n, 0, 4}]

PARI

a(n) = polcoef(prod(k=1, 10^n, 1+x^k+x*O(x^(10^n))), 10^n); \\ Seiichi Manyama, Sep 10 2021

Formula

a(n) = A000009(A011557(n)). - Michel Marcus, Sep 10 2021