A128854 Number of partitions of n^3.

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

Offset

0,3

Links

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

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

Mathematica

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

Prog

(MuPAD) combinat::partitions::count(n^3) $n=0..15
(PARI) a(n) = numbpart(n^3); \\ Michel Marcus, Jul 12 2023

Crossrefs

Cf. A000041, A000578, A072213.

Sequence in context: A231053 A078275 A200805 * A381160 A114942 A155885

Adjacent sequences: A128851 A128852 A128853 * A128855 A128856 A128857

Keyword

nonn

Author

Zerinvary Lajos, Apr 16 2007

Status

approved