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URL: https://oeis.org/A168488

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A168488
Hankel transform of Genocchi medians.
2
1, 1, 16, 20736, 6879707136, 1426576071720960000, 383375999244747512217600000000, 247370021455402476126653493805056000000000000
OFFSET
0,3
COMMENTS
Hankel transform of A005439 (when this starts 1,1,2,8,...).
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
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Nov 27 2009
STATUS
approved