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Search: id:A088718
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| A088718 |
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Special values of the hypergeometric function 2F2: in Maple notation, a(n)= GAMMA(n+2)*GAMMA(n+1)*hypergeom([n+2, n+1],[2, 2],1)/exp(1). |
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+0 1
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| 3, 47, 1483, 76569, 5786591, 597171343, 80249092407, 13564142022833, 2808480076453819, 697616553050353551, 20440499982121346624, 69667268037325797442057, 27297687385538226681267543
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OFFSET
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1,1
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COMMENT
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Representation as n-th moment of a positive function on a positive half-axis, related to 0F2, in Maple notation: a(n)=int(x^n*(2*sqrt(x)*BesselK(1,2*sqrt(x))*hypergeom([],[2, 2],x)/exp(1)),x=0..infinity), n=1,2...
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CROSSREFS
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Sequence in context: A084295 A131465 A137611 this_sequence A016548 A162333 A003878
Adjacent sequences: A088715 A088716 A088717 this_sequence A088719 A088720 A088721
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Oct 12 2003
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