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
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..90
Programs
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Maple
T:=proc(n,k) option remember; `if`(n=0 or k=1, 1, T(n,k-1) + `if`(n
Formula
a(n) ~ exp(2*n + 1/20) * 5^(n-1) * n^(n-3) / (2*Pi).