A258303 Number of partitions of 3*n^3 into parts that are at most n.
1, 1, 13, 588, 53089, 7431069, 1432812535, 354709605775, 107681683621061, 38815870525676822, 16224696168627992214, 7722681288635179285337, 4126484069454572889453794, 2446850787696893234909546422, 1594892857383186062141424302309
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..100
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 + 1/12) * 3^(n-1) * n^(n-3) / (2*Pi).