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A137704 Hankel transform of aerated factorial numbers. 3
1, 1, 1, 2, 8, 96, 3456, 497664, 286654464, 825564856320, 11888133931008000, 1027134771639091200000, 532466665617704878080000000, 1932215036193527461576704000000000 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

Hankel transform of A084261. Hankel transform of A000142 (n!) with interpolated zeros.

a(n+1) is the Hankel transform of A003319 aerated. [From Paul Barry (pbarry(AT)wit.ie), Oct 07 2008]

FORMULA

a(n):=Product{k=0..n, floor((k+2)/2)^(n-k)};

CROSSREFS

Sequence in context: A052713 A136797 A009752 * A001417 A156926 A001697

Adjacent sequences:  A137701 A137702 A137703 * A137705 A137706 A137707

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 07 2008

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Last modified February 17 22:48 EST 2012. Contains 206085 sequences.