login
A258304
Number of partitions of 4*n^3 into parts that are at most n.
5
1, 1, 17, 1027, 123464, 23030612, 5918918145, 1953335236481, 790541795804221, 379916850888632162, 211720519858133280231, 134359691058417334173117, 95719564240981718602134049, 75674822191817499226090337378, 65766024754772296807292428860854
OFFSET
0,3
LINKS
FORMULA
a(n) ~ exp(2*n + 1/16) * 4^(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(4*n^3, n), n=0..20);
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, May 25 2015
STATUS
approved