cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A272166 a(n) = Product_{k=0..n} (k*n-k)!.

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%I A272166 #4 Apr 21 2016 16:48:43
%S A272166 1,1,2,34560,750902834626560000,
%T A272166 23594617426193665303453830729600860160000000000
%N A272166 a(n) = Product_{k=0..n} (k*n-k)!.
%C A272166 The next term has 97 digits.
%F A272166 a(n) ~ A^(n-1) * 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 Glaisher-Kinkelin constant.
%t A272166 Table[Product[(k*n-k)!, {k, 0, n}], {n, 0, 8}]
%Y A272166 Cf. A272165.
%K A272166 nonn,easy
%O A272166 0,3
%A A272166 _Vaclav Kotesovec_, Apr 21 2016