A258300 Number of partitions of n*(n-1)*(n-2)/6 into parts that are at most n.
1, 1, 1, 1, 5, 30, 282, 3539, 55974, 1065947, 23785645, 608889106, 17594781914, 566603884871, 20123663539549, 781500841147604, 32946304088342094, 1498526109256063585, 73147202427442412812, 3814178439827570160925, 211598573411998923138880
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..141
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 - 3/2) * n^(n-3) / (2*Pi * 6^(n-1)).