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A137565 Hankel transform of quadruple factorial numbers A001813. 1
1, 8, 3072, 141557760, 1461147874099200, 5429466527263925207040000, 10652562037579218110269404217344000000, 15215364593060190936848463156185060517032755200000000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

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: A185901 A078525 A125539 * A145260 A201100 A079177

Adjacent sequences:  A137562 A137563 A137564 * A137566 A137567 A137568

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 26 2008, Apr 25 2008

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), May 14 2008 at the suggestion of R. J. Mathar.

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Last modified February 15 05:15 EST 2012. Contains 205694 sequences.