OFFSET
0,2
COMMENTS
Partial products of A100732. - Michel Marcus, Jul 06 2019
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..22
FORMULA
a(n) ~ Gamma(1/3)^(1/3) * 3^(3*n^2/2 + 2*n + 11/36) * 2^(n/2 + 1/3) * Pi^(n/2 + 1/3) * n^(3*n^2/2 + 2*n + 19/36) / (A^(1/3) * exp(9*n^2/4 + 2*n - 1/36)), where A = A074962 is the Glaisher-Kinkelin constant.
MATHEMATICA
Table[Product[(3*k)!, {k, 0, n}], {n, 0, 10}]
PROG
(PARI) {a(n) = prod(k=1, n, (3*k)!)} \\ Seiichi Manyama, Jul 06 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Apr 16 2016
STATUS
approved