OFFSET
0,2
FORMULA
a(n) ~ 3^(3*n) * exp(Pi*sqrt(2*n/3)) / (sqrt(Pi) * n^(3/2) * 2^(2*n + 2)).
MATHEMATICA
Table[Sum[Binomial[3*n, k] * PartitionsP[k], {k, 0, n}], {n, 0, 30}]
PROG
(PARI) a(n) = sum(k=0, n, binomial(3*n, k)*numbpart(k)); \\ Michel Marcus, Aug 02 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Aug 01 2022
STATUS
approved