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A306193 a(n) = Product_{k=0..n} (1 + n!/k!). 0

%I #4 Jan 28 2019 10:31:41

%S 2,4,18,392,81250,225061452,9854913828914,7821195286733052688,

%T 128042318400630042200896962,48734103316428964151516768659332500,

%U 480771737247108575104717059364582638896056402,135700420467061659867201490569546772642393389614560348824

%N a(n) = Product_{k=0..n} (1 + n!/k!).

%F a(n) = A323717(n) / A000178(n).

%F a(n) ~ 2 * A * n^(n*(n+1)/2 + 1/12) / exp(n^2/4), where A is the Glaisher-Kinkelin constant A074962.

%t Table[Product[1 + n!/k!, {k, 0, n}], {n, 0, 12}]

%Y Cf. A000178, A269700, A323717.

%K nonn

%O 0,1

%A _Vaclav Kotesovec_, Jan 28 2019

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)