A137565 Hankel transform of quadruple factorial numbers A001813.

1, 8, 3072, 141557760, 1461147874099200, 5429466527263925207040000, 10652562037579218110269404217344000000, 15215364593060190936848463156185060517032755200000000

Offset

0,2

Links

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

Formula

a(n)=Product{k=0..n-1, (8(k+1)(2k+1))^(n-k)}.

a(n)=8^C(n+1,2)*Product{k=1..n, k!*Product{i=1..k-1, 2i+1}}; a(n)=8^C(n+1,2)*A000178(n)*A057863(n).

Crossrefs

Sequence in context: A300039 A282187 A217270 * A281323 A145260 A201100

Adjacent sequences: A137562 A137563 A137564 * A137566 A137567 A137568

Keyword

easy,nonn

Author

Paul Barry, Jan 26 2008, Apr 25 2008

Extensions

Edited by N. J. A. Sloane, May 14 2008 at the suggestion of R. J. Mathar.

Status

approved