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Search: id:A028340
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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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+0
5
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| 1, 16, 230, 3480, 57379, 1038016, 20570444, 444647600, 10431670821, 264300628944, 7198061846898, 209814739262856, 6520139954328519, 215245451727154944, 7524314127912551832, 277705505168550027360
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OFFSET
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3,2
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FORMULA
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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
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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 this_sequence A119463 A111096 A161591
Adjacent sequences: A028337 A028338 A028339 this_sequence A028341 A028342 A028343
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KEYWORD
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nonn
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AUTHOR
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R. W. Gosper
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