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Search: id:A051579
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| A051579 |
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(2*n+5)!!/5!!, related to A001147 (odd double factorials). |
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+0
4
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| 1, 7, 63, 693, 9009, 135135, 2297295, 43648605, 916620705, 21082276215, 527056905375, 14230536445125, 412685556908625, 12793252264167375, 422177324717523375, 14776206365113318125, 546719635509192770625
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row m=5 of the array A(3; m,n) := (2*n+m)!!/m!!, m >= 0, n >= 0.
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FORMULA
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a(n) = (2*n+5)!!/4!!; e.g.f.: 1/(1-2*x)^(7/2).
a(n) ~ 8/15*sqrt(2)*n^3*2^n*e^-n*n^n*{1 + 107/24*n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 23 2001
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MAPLE
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with(finance):seq(mul(cashflows([k, k, 1], 0), k=3..n), n=2..22); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 22 2008]
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CROSSREFS
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Cf. A000165, A001147(n+1), A002866(n+1), A051577, A051578 (rows m=0..4).
Sequence in context: A024088 A155132 A015684 this_sequence A049464 A084063 A152797
Adjacent sequences: A051576 A051577 A051578 this_sequence A051580 A051581 A051582
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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