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A258302
Number of partitions of 2*n^3 into parts that are at most n.
5
1, 1, 9, 271, 16335, 1525940, 196284041, 32409332818, 6561153029810, 1577073620254149, 439541281384464800, 139493983910450106067, 49695878602452933374813, 19646816226938989587513067, 8537966749269377751401117583, 4046350906270352192325991177139
OFFSET
0,3
LINKS
FORMULA
a(n) ~ exp(2*n + 1/8) * 2^(n-1) * n^(n-3) / (2*Pi).
MAPLE
T:=proc(n, k) option remember; `if`(n=0 or k=1, 1, T(n, k-1) + `if`(n<k, 0, T(n-k, k))) end proc: seq(T(2*n^3, n), n=0..20);
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, May 25 2015
STATUS
approved