A258305 Number of partitions of 5*n^3 into parts that are at most n.

1, 1, 21, 1587, 238383, 55567352, 17847892852, 7361757422695, 3723968532118769, 2236948326023829383, 1558198571940473783110, 1236019919143994867274825, 1100668944858994534988670451, 1087699749857592852109688615310, 1181577954513871365541825872100466

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..90

Formula

a(n) ~ exp(2*n + 1/20) * 5^(n-1) * n^(n-3) / (2*Pi).

Maple

T:=proc(n, k) option remember; `if`(n=0 or k=1, 1, T(n, k-1) + `if`(n<k, 0, T(n-k, k))) end proc: seq(T(5*n^3, n), n=0..20);

Crossrefs

Cf. A238608, A258302, A258303, A258304.

Sequence in context: A301432 A220561 A239267 * A081786 A295414 A202800

Adjacent sequences: A258302 A258303 A258304 * A258306 A258307 A258308

Keyword

nonn

Author

Vaclav Kotesovec, May 25 2015

Status

approved