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Search: id:A070074
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| A070074 |
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In Maple notation, a(n)=hypergeom([n+1, n+2],[1, 2],1)*(n)!*(n+1)!/exp(1). |
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+0 1
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| 1, 7, 141, 5305, 313333, 26405391, 2986704817, 434460962041, 78746410575945, 17355333316259863, 4561636814725190101, 1407386778722787214617, 503024214435970044854461
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OFFSET
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0,2
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FORMULA
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a(n) is the n-th power moment of a positive function on a positive half-axis: a(n)=int(x^n*2*hypergeom([], [1, 2], x)*x^(1/2)*BesselK(1, 2*sqrt(x))/exp(1), x=0..infinity), n=0, 1...
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CROSSREFS
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Sequence in context: A082162 A085708 A054606 this_sequence A051397 A082157 A104240
Adjacent sequences: A070071 A070072 A070073 this_sequence A070075 A070076 A070077
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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), Apr 22 2002
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