OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..30
FORMULA
From Vaclav Kotesovec, Feb 02 2018: (Start)
a(n) ~ (n!)^n.
a(n) ~ 2^(n/2) * Pi^(n/2) * n^(n*(2*n+1)/2) / exp(n^2 - 1/12). (End)
MATHEMATICA
Table[SeriesCoefficient[Product[1/(1 - k!*x), {k, 1, n}], {x, 0, n}], {n, 0, 12}] (* Vaclav Kotesovec, Feb 02 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Feb 01 2018
STATUS
approved