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A075132
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a(0)=1; for n > 0, a(n)=sum(binomial(n,k)*binomial(n+k,k+1)*binomial(n+k+1,k),k=0..n)/n.
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1
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1, 4, 33, 356, 4415, 59690, 855925, 12809620, 198034395, 3140695856, 50845026815, 837207042270, 13982565667915, 236366796137230, 4037392483733629, 69589308151724084, 1209013441314791891
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| Special values of the hypergeometric function 3F2, in Maple notation: a(n)=hypergeom([ n+1, n+2, -n], [1, 2], -1)
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MATHEMATICA
| Table[ HypergeometricPFQ[{n + 1, n + 2, -n}, {1, 2}, -1], {n, 0, 16}] (* RGWv *)
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CROSSREFS
| Cf. A075514, A074635, A074649, A073530.
Sequence in context: A028576 A093185 A198006 * A113170 A198900 A166906
Adjacent sequences: A075129 A075130 A075131 * A075133 A075134 A075135
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KEYWORD
| nonn
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AUTHOR
| Karol A. Penson (penson(AT)lptl.fr), Sep 04 2002
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