A168488 Hankel transform of Genocchi medians.

1, 1, 16, 20736, 6879707136, 1426576071720960000, 383375999244747512217600000000, 247370021455402476126653493805056000000000000

Offset: 0

Author

Paul Barry, Nov 27 2009

Keywords

• easy
• nonn

Comments

Hankel transform of A005439 (when this starts 1,1,2,8,...).

Crossrefs

Cf. A000178.

Programs

Mathematica

Table[Product[k!^4, {k, 0, n}], {n, 0, 10}] (* Vaclav Kotesovec, Nov 23 2023 *)

Formula

a(n)=Product{k=0..n, ((k+1)^4)^(n-k)}.

From Vaclav Kotesovec, Nov 23 2023: (Start)

a(n) = Product_{k=0..n} k!^4.

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)