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A272165 a(n) = Product_{k=0..n} (k*n-k)^k. 1

%I

%S 0,4,6912,1632586752,92771293593600000,1922167968750000000000000000,

%T 20386493620375898676722605059420979200000,

%U 147691962494584259939724821292542617401603191419699200000

%N a(n) = Product_{k=0..n} (k*n-k)^k.

%F a(n) ~ A * n^(n^2 + n + 1/12) / exp((n^2 + 2*n + 3)/4), where A = A074962 is the Glaisher-Kinkelin constant.

%t Table[Product[(k*n-k)^k, {k, 1, n}], {n, 1, 10}]

%Y Cf. A272166.

%K nonn,easy

%O 1,2

%A _Vaclav Kotesovec_, Apr 21 2016

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Last modified September 25 12:23 EDT 2020. Contains 337343 sequences. (Running on oeis4.)