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Search: id:A113059
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A113059 a(n)= n!*sum(A000296(k)/k!,k=0..n), n=0,1.... +0
2
1, 1, 3, 10, 44, 231, 1427, 10151, 81923, 740732, 7425042, 81773715, 981864897, 12767876941, 178774288331, 2681781213130, 42909715480460 (list; graph; listen)
OFFSET

0,3

FORMULA

Representation as an infinite series involving the generalized Laguerre polynomials, in Maple notation: a(n)=(-1)^n*n!*sum(LaguerreL(n, -n-1, k-1)/k!, k=0..infinity)/exp(1), n=0, 1... . E.g.f.:exp(exp(x)-1-x)/(1-x)

CROSSREFS

Cf. A101053, A101054.

Sequence in context: A041737 A026682 A096804 this_sequence A000608 A009648 A007125

Adjacent sequences: A113056 A113057 A113058 this_sequence A113060 A113061 A113062

KEYWORD

nonn

AUTHOR

Karol A. Penson (penson(AT)lptl.jussieu.fr), Oct 12 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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