|
Search: id:A057863
|
|
| |
|
| 1, 1, 3, 45, 4725, 4465125, 46414974375, 6272287562165625, 12714083695698776015625, 438120013555654794702228515625, 286849911214281324754704976473779296875
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
a(n) is the coefficient of the closed form for BarnesG[(2n-1)/2].
a(n) is the hook product corresponding to the partition (n,n-1,...,2,1). a(n)=(n(n+1)/2)!/A005118(n+1). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 21 2004
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
MATHEMATICA
|
a[n_] := Product[2^i Gamma[1/2+i]/Sqrt[Pi], {i, n-2}]
|
|
PROGRAM
|
(PARI) a(n)=prod(k=0, n, prod(i=0, k, 2*i+1))
|
|
CROSSREFS
|
Cf. A000178.
Cf. A005118.
Sequence in context: A099168 A004105 A060336 this_sequence A124488 A086683 A155203
Adjacent sequences: A057860 A057861 A057862 this_sequence A057864 A057865 A057866
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Eric Weisstein (eric(AT)weisstein.com)
|
|
EXTENSIONS
|
Simpler description from Benoit Cloitre (benoit7848c(AT)orange.fr), May 03 2003
|
|
|
Search completed in 0.002 seconds
|
