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Search: id:A091034
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| A091034 |
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Fourth column (k=5) of array A090438 ((4,2)-Stirling2) divided by 24. |
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+0
3
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| 1, 280, 70560, 19958400, 6659452800, 2644408166400, 1244905998336000, 689322235650048000, 444916954745303040000, 331767548149023866880000, 283424276847308960563200000, 275246422218908346286080000000
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OFFSET
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3,2
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FORMULA
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a(n)=A090438(n, 5)/24, n>=3.
a(n)=(n-1)*(n-2)*(2*n-3)*(2*n)!/(5!*(3!)^2), n>=3.
E.g.f.:(sum(((-1)^(p+1))*binomial(5, p)*hypergeom([(p-1)/2, p/2], [], 4*x), p=2..5) + 4)/(5!*4!) (cf. A090438).
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CROSSREFS
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Cf. A091033 (third column of A090438), A091035 (fifth column).
Sequence in context: A038656 A024214 A094895 this_sequence A142444 A139655 A098677
Adjacent sequences: A091031 A091032 A091033 this_sequence A091035 A091036 A091037
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jan 23 2004
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