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A101054
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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)
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1
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1, 3, 12, 59, 343, 2302, 17537, 149711, 1417444, 14755947, 167664955, 2066153410, 27460121377, 391670868279, 5969233120520, 96827494235555
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