A258304 Number of partitions of 4*n^3 into parts that are at most n.
1, 1, 17, 1027, 123464, 23030612, 5918918145, 1953335236481, 790541795804221, 379916850888632162, 211720519858133280231, 134359691058417334173117, 95719564240981718602134049, 75674822191817499226090337378, 65766024754772296807292428860854
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..62
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 + 1/16) * 4^(n-1) * n^(n-3) / (2*Pi).