A168488 Hankel transform of Genocchi medians.

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

Offset

0,3

Comments

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

Links

Table of n, a(n) for n=0..7.

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)

Mathematica

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

Crossrefs

Cf. A000178.

Sequence in context: A140597 A017296 A217271 * A070904 A308309 A159427

Adjacent sequences: A168485 A168486 A168487 * A168489 A168490 A168491

Keyword

easy,nonn

Author

Paul Barry, Nov 27 2009

Status

approved