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%I #4 Apr 21 2016 16:48:33
%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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