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.

A168488 Hankel transform of Genocchi medians.

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%I A168488 #7 Nov 23 2023 13:25:20
%S A168488 1,1,16,20736,6879707136,1426576071720960000,
%T A168488 383375999244747512217600000000,
%U A168488 247370021455402476126653493805056000000000000
%N A168488 Hankel transform of Genocchi medians.
%C A168488 Hankel transform of A005439 (when this starts 1,1,2,8,...).
%F A168488 a(n)=Product{k=0..n, ((k+1)^4)^(n-k)}.
%F A168488 From _Vaclav Kotesovec_, Nov 23 2023: (Start)
%F A168488 a(n) = Product_{k=0..n} k!^4.
%F A168488 a(n) ~ (2*Pi)^(2*n + 2) * n^(2*n^2 + 4*n + 5/3) / (A^4 * exp(3*n^2 + 4*n - 1/3)), where A is the Glaisher-Kinkelin constant A074962. (End)
%t A168488 Table[Product[k!^4, {k, 0, n}], {n, 0, 10}] (* _Vaclav Kotesovec_, Nov 23 2023 *)
%Y A168488 Cf. A000178.
%K A168488 easy,nonn
%O A168488 0,3
%A A168488 _Paul Barry_, Nov 27 2009