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Search: id:A000909
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| 1, 12, 720, 100800, 25401600, 10059033600, 5753767219200, 4487938430976000, 4577697199595520000, 5914384781877411840000, 9439358111876349296640000, 18236839872145106841108480000, 41944731705933745734549504000000
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OFFSET
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0,2
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COMMENT
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Contribution from Karol A. Penson (penson(AT)lptl.jussieu.fr), Jun 04 2009: (Start)
Integral representation of a(n) as n-th moment of a positive function W(x) on the
positive axis, in Maple notation: a(n)=int(x^n*W(x),x=0..infinity)=
int(x^n*(1/4)*BesselK(1,(1/2)*sqrt(x))/Pi,x=0..infinity), n=0,1... .
This is the solution of the Stieltjes moment problem with the moments a(n).
This solution may not be unique. (End)
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REFERENCES
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E. R. Hansen, A Table of Series and Products, Prentice-Hall, Englewood Cliffs, NJ, 1975, p. 96.
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CROSSREFS
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a(n) = 4^n * A079484(n+1).
Sequence in context: A060612 A002196 A141421 this_sequence A162447 A061025 A042749
Adjacent sequences: A000906 A000907 A000908 this_sequence A000910 A000911 A000912
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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