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A028340
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Coefficient of x^3 in expansion of (x+1)(x+3)...(x+2n-1).
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4
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1, 16, 230, 3480, 57379, 1038016, 20570444, 444647600, 10431670821, 264300628944, 7198061846898, 209814739262856, 6520139954328519, 215245451727154944, 7524314127912551832, 277705505168550027360
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,2
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FORMULA
| sum[(-1)^(k+1-i) 2^(n-1) binomial(i-1, k) s1(n, i), i=k+1..n] with k = 3, where s1(n, i) are unsigned Stirling numbers of the first kind - Victor Adamchik (adamchik(AT)ux10.sp.cs.cmu.edu), Jan 23, 2001
E.g.f.: -1/48*(1-2*x)^(-1/2)*ln(1-2*x)^3. - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 19 2003
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CROSSREFS
| Cf. A028338.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 08 2009: (Start)
Equals fourth left hand column of A161198 triangle divided by 8.
(End)
Sequence in context: A098301 A014897 A048445 * A166903 A119463 A111096
Adjacent sequences: A028337 A028338 A028339 * A028341 A028342 A028343
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KEYWORD
| nonn
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AUTHOR
| R. W. Gosper
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