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A070074
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a(n)= 2F2(n+1, n+2; 1, 2; 1) *n! *(n+1)! /exp(1), where 2F2 is the generalized hypergeometric function.
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1, 7, 141, 5305, 313333, 26405391, 2986704817, 434460962041, 78746410575945, 17355333316259863, 4561636814725190101, 1407386778722787214617, 503024214435970044854461
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OFFSET
| 0,2
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FORMULA
| 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
| Sequence in context: A085708 A054606 A191956 * A051397 A179569 A082157
Adjacent sequences: A070071 A070072 A070073 * A070075 A070076 A070077
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KEYWORD
| nonn
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AUTHOR
| Karol A. Penson (penson(AT)lptl.jussieu.fr), Apr 22 2002
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