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Search: id:A101053
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| 1, 2, 6, 23, 107, 587, 3725, 26952, 219756, 1998951, 20105485, 221838905, 2666280457, 34689290378, 485840964614, 7288997427755
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OFFSET
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0,2
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COMMENT
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Sequence was originally defined as an infinite sum involving generalized Laguerre polynomials: a(n)= ((-1)^n*n!/exp(1))*sum(LaguerreL(n,-n-1,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)
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MAPLE
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a:=n->sum(bell(j)*n!/j!, j=0..n):seq(a(n), n=0..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 19 2007
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CROSSREFS
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Sequence in context: A113226 A071075 A007555 this_sequence A155857 A071076 A112501
Adjacent sequences: A101050 A101051 A101052 this_sequence A101054 A101055 A101056
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Nov 29 2004
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EXTENSIONS
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New definition from Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 01 2004
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