A128854 Number of partitions of n^3.

1, 1, 22, 3010, 1741630, 3163127352, 15285151248481, 175943559810422753, 4453575699570940947378, 233202632378520643600875145, 24061467864032622473692149727991, 4700541557913558825461268913956492487

Offset: 0

Author

Zerinvary Lajos, Apr 16 2007

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..93

Crossrefs

Cf. A000041, A000578, A072213.

Programs

Mathematica

Table[PartitionsP[n^3],{n,0,11}] (* James C. McMahon, Jan 12 2025 *)

MuPAD

combinat::partitions::count(n^3) $n=0..15

PARI

a(n) = numbpart(n^3); \\ Michel Marcus, Jul 12 2023

Formula

a(n) = A000041(A000578(n)). - Michel Marcus, Aug 15 2013

a(n) ~ exp(Pi*sqrt(2/3)*n^(3/2))/(4*sqrt(3)*n^3). - Ilya Gutkovskiy, Jan 13 2017