OFFSET
6,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 6..10000 (terms 6..5000 from Alois P. Heinz)
Wikipedia, Partition (number theory)
FORMULA
a(n) ~ exp(Pi*sqrt(2*n)) / (2^(17/4) * n^(3/4)). - Vaclav Kotesovec, Sep 16 2019
G.f.: (-1 + Product_{k>=1} (1 + x^k))^6. - Ilya Gutkovskiy, Jan 31 2021
MAPLE
b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0, add((t->
b(t, min(t, i-1), k)*binomial(k, j))(n-i*j), j=0..min(k, n/i))))
end:
a:= n-> (k-> add(b(n$2, k-i)*(-1)^i*binomial(k, i), i=0..k))(6):
seq(a(n), n=6..45);
MATHEMATICA
A327384[n_] := SeriesCoefficient[(Product[(1 + x^k), {k, 1, n}] - 1)^6, {x, 0, n}]; Table[A327384[n], {n, 6, 37}] (* Robert P. P. McKone, Jan 31 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 03 2019
STATUS
approved