A347604 Number of partitions of n^3 into n or more parts.

1, 1, 21, 2996, 1741256, 3163112106, 15285150382556, 175943559746571618, 4453575699565108152534, 233202632378520005314974035, 24061467864032622392081524591073, 4700541557913558825449308701662220085, 1681375219875327721201831964319709743701981

Offset: 0

Author

Seiichi Manyama, Sep 08 2021

Keywords

• nonn

Crossrefs

Cf. A128854, A238608, A304176, A347585, A347605.

Formula

a(n) = [x^(n^3)] Sum_{k>=n} x^k / Product_{j=1..k} (1 - x^j).

a(n) = A128854(n) + A304176(n) - A238608(n).