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Search: id:A101055
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A101055 Sequence defined as an infinite sum involving generalized Laguerre polynomials: a(n)= ((-1)^n*n!/exp(1))*sum(LaguerreL(n,-n-3,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)^3) +0
1
1, 4, 20, 119, 819, 6397, 55919, 541144, 5746596, 66475311, 832418065, 11222752125, 162133146877, 2499401777680, 40960858008040, 711240364356155 (list; graph; listen)
OFFSET

0,2

CROSSREFS

Sequence in context: A127088 A128236 A091046 this_sequence A013197 A089498 A046729

Adjacent sequences: A101052 A101053 A101054 this_sequence A101056 A101057 A101058

KEYWORD

nonn

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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