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 A003725 E.g.f.: exp( x * exp(-x) ). (Formerly M1911) 13
 1, 1, -1, -2, 9, -4, -95, 414, 49, -10088, 55521, -13870, -2024759, 15787188, -28612415, -616876274, 7476967905, -32522642896, -209513308607, 4924388011050, -38993940088199, 11731860520780, 3807154270837281 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Seiichi Manyama, Table of n, a(n) for n = 0..557 FORMULA a(n) = Sum_{k=0..n} (-k)^(n-k)*binomial(n, k). - Vladeta Jovovic, Mar 15 2003 First column of A215652. - Peter Bala, Sep 14 2012 G.f.: Sum_{k>=0} x^k/(1 + k*x)^(k+1). - Ilya Gutkovskiy, Jun 25 2018 MATHEMATICA With[{nn=30}, CoefficientList[Series[Exp[x Exp[-x]], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Oct 20 2011 *) PROG (PARI) Vec(serlaplace(exp(exp(-x) * x))) \\ Charles R Greathouse IV, Sep 26 2017 CROSSREFS Cf. A000248, A069856, A072034. A215652. Cf. this sequence (k=1), A292909 (k=2), A292910 (k=3), A292912 (k=4). Sequence in context: A268103 A127145 A210423 * A292952 A328619 A076930 Adjacent sequences:  A003722 A003723 A003724 * A003726 A003727 A003728 KEYWORD sign,easy AUTHOR STATUS approved

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Last modified February 28 06:55 EST 2020. Contains 332321 sequences. (Running on oeis4.)