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Search: id:A092958
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A092958 a(1) = 1, a(2) = (1+2)*(2+3), a(3) = (1+2+3)*(2+3+4)*(3+4+5),... etc. Or a(n) = (T(n))*(T(n)+n)*(T(n)+2n)*(T(n)+3n)*... n terms. where T(n) = n(n+1)/2 given by A000210. +0
1
1, 15, 648, 55440, 7875000, 1674728055, 498078806400, 197378293432320, 100519810139548800, 63970355423583984375, 49745967806568479846400, 46413542581052579412480000, 51171212156597654150866636800 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=n^n*GAMMA(3n/2+1/2)/GAMMA(n/2+1/2). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 23 2006

MAPLE

a:=n->n^n*GAMMA(3*n/2+1/2)/GAMMA(n/2+1/2): seq(a(n), n=1..18); (Deutsch)

a:=n->mul(sum (j-k+n, j=1..n), k=1..n): seq(a(n), n=1..13); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 04 2007

CROSSREFS

Sequence in context: A012210 A081022 A049291 this_sequence A079600 A166186 A001520

Adjacent sequences: A092955 A092956 A092957 this_sequence A092959 A092960 A092961

KEYWORD

easy,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 25 2004

EXTENSIONS

More terms from Ray G. Opao (1260(AT)email.com), Mar 29 2004

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 23 2006

More terms from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 04 2007

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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