A258298 Number of partitions of n*(n+1)*(n+2)/6 into parts that are at most n.
1, 1, 3, 14, 108, 1115, 14800, 239691, 4602893, 102442041, 2596767156, 73937412122, 2338157235782, 81358388835166, 3090548185022616, 127310130911561966, 5654266354725389764, 269396637045530725099, 13708631585852580662781, 742141584297248778501411
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..135
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 + 9/2) * n^(n-3) / (2*Pi * 6^(n-1)).