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A258305
Number of partitions of 5*n^3 into parts that are at most n.
5
1, 1, 21, 1587, 238383, 55567352, 17847892852, 7361757422695, 3723968532118769, 2236948326023829383, 1558198571940473783110, 1236019919143994867274825, 1100668944858994534988670451, 1087699749857592852109688615310, 1181577954513871365541825872100466
OFFSET
0,3
LINKS
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
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, May 25 2015
STATUS
approved