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A160615
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Numerator of Laguerre(n, -2).
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3
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1, 3, 7, 43, 27, 719, 3661, 13991, 66769, 133261, 2363513, 116441047, 513267739, 153434147, 96790969339, 2053217625931, 136839921293, 67725860135459, 837687671342383, 7232743280136193, 2996031500521181, 4142815387557270467
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OFFSET
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0,2
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LINKS
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FORMULA
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Numerators of coefficients in expansion of exp(2*x/(1 - x))/(1 - x). - Ilya Gutkovskiy, Aug 29 2018
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EXAMPLE
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1, 3, 7, 43/3, 27, 719/15, 3661/45, 13991/105, 66769/315, 133261/405, 2363513/4725, 116441047/155925, ...
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MATHEMATICA
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Numerator[Table[LaguerreL[n, -2], {n, 0, 50}]] (* G. C. Greubel, May 06 2018 *)
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PROG
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(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)*(2^k/k!))), ", ")) \\ G. C. Greubel, May 06 2018
(Magma) [Numerator((&+[Binomial(n, k)*(2^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 06 2018
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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