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Search: id:A101054
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A101054 Sequence defined as an infinite sum involving generalized Laguerre polynomials: a(n)= ((-1)^n*n!/exp(1))*sum(LaguerreL(n,-n-2,k)/k!, k=0..infinity), n=0,1... . It appears in the problem of normal ordering of functions of boson operators. E.g.f: exp(exp(x)-1)/((1-x)^2) +0
2
1, 3, 12, 59, 343, 2302, 17537, 149711, 1417444, 14755947, 167664955, 2066153410, 27460121377, 391670868279, 5969233120520, 96827494235555 (list; graph; listen)
OFFSET

0,2

CROSSREFS

Sequence in context: A105668 A064856 A080337 this_sequence A122752 A020102 A065080

Adjacent sequences: A101051 A101052 A101053 this_sequence A101055 A101056 A101057

KEYWORD

nonn

AUTHOR

Karol A. Penson (penson(AT)lptl.jussieu.fr), Nov 29 2004

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


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