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.

A272238 a(n) = Product_{k=0..n} (n^2+k)!.

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%I A272238 #9 Apr 23 2016 07:36:54
%S A272238 1,2,2073600,25177856146146034974720000000,
%T A272238 14100949826093501607549529280892932893801777581548587107609477120000000000000000
%N A272238 a(n) = Product_{k=0..n} (n^2+k)!.
%C A272238 The next term has 173 digits.
%F A272238 a(n) = ((n^2+n)!)^(n+1) / A272237(n).
%F A272238 a(n) ~ exp(11/24 + n/6 - n^2 - n^3) * n^((1+n)*(1 + n + 2*n^2)) * (2*Pi)^((n+1)/2).
%t A272238 Table[Product[(n^2+k)!, {k, 0, n}], {n, 0, 6}]
%t A272238 Table[BarnesG[n^2 + n + 2]/BarnesG[n^2 + 1], {n, 0, 6}]
%Y A272238 Cf. A135860, A272164, A272180, A272237, A272241.
%K A272238 nonn,easy
%O A272238 0,2
%A A272238 _Vaclav Kotesovec_, Apr 23 2016