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 A160615 Numerator of Laguerre(n, -2). 3
 1, 3, 7, 43, 27, 719, 3661, 13991, 66769, 133261, 2363513, 116441047, 513267739, 153434147, 96790969339, 2053217625931, 136839921293, 67725860135459, 837687671342383, 7232743280136193, 2996031500521181, 4142815387557270467 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..494 FORMULA Numerators of coefficients in expansion of exp(2*x/(1 - x))/(1 - x). - Ilya Gutkovskiy, Aug 29 2018 EXAMPLE 1, 3, 7, 43/3, 27, 719/15, 3661/45, 13991/105, 66769/315, 133261/405, 2363513/4725, 116441047/155925, ... MATHEMATICA Numerator[Table[LaguerreL[n, -2], {n, 0, 50}]] (* G. C. Greubel, May 06 2018 *) PROG (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 CROSSREFS For denominators see A160616. Cf. A087912. Sequence in context: A019018 A018993 A217759 * A106965 A337829 A257366 Adjacent sequences:  A160612 A160613 A160614 * A160616 A160617 A160618 KEYWORD nonn,frac AUTHOR N. J. A. Sloane, Nov 14 2009 STATUS approved

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Last modified November 26 03:08 EST 2022. Contains 358353 sequences. (Running on oeis4.)