A258301 Number of partitions of n*(n+1)*(2n+1)/6 into parts that are at most n.
1, 1, 3, 24, 297, 5260, 123755, 3648814, 129828285, 5425234114, 260818130929, 14194798070042, 863357482347465, 58068803644110427, 4281318749672322843, 343463734454952001605, 29792472711307060688049, 2778959190056157071592315, 277420695604265258419161136
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..118
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 + 9/4) * n^(n-3) / (2*Pi * 3^(n-1)).