|
| |
|
|
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.
|
| |
|
|