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A306193
a(n) = Product_{k=0..n} (1 + n!/k!).
0
2, 4, 18, 392, 81250, 225061452, 9854913828914, 7821195286733052688, 128042318400630042200896962, 48734103316428964151516768659332500, 480771737247108575104717059364582638896056402, 135700420467061659867201490569546772642393389614560348824
OFFSET
0,1
FORMULA
a(n) = A323717(n) / A000178(n).
a(n) ~ 2 * A * n^(n*(n+1)/2 + 1/12) / exp(n^2/4), where A is the Glaisher-Kinkelin constant A074962.
MATHEMATICA
Table[Product[1 + n!/k!, {k, 0, n}], {n, 0, 12}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 28 2019
STATUS
approved