%I #4 Apr 21 2016 16:48:43
%S 1,1,2,34560,750902834626560000,
%T 23594617426193665303453830729600860160000000000
%N a(n) = Product_{k=0..n} (k*nk)!.
%C The next term has 97 digits.
%F a(n) ~ A^(n1) * n^(1/6 + n/12 + n^3) * (2*Pi)^(n/2 + 1/4) / exp((2 + 3*n + 3*n^2 + 9*n^3)/12), where A = A074962 is the GlaisherKinkelin constant.
%t Table[Product[(k*nk)!, {k, 0, n}], {n, 0, 8}]
%Y Cf. A272165.
%K nonn,easy
%O 0,3
%A _Vaclav Kotesovec_, Apr 21 2016
