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A003725
E.g.f.: exp( x * exp(-x) ).
(Formerly M1911)
20
1, 1, -1, -2, 9, -4, -95, 414, 49, -10088, 55521, -13870, -2024759, 15787188, -28612415, -616876274, 7476967905, -32522642896, -209513308607, 4924388011050, -38993940088199, 11731860520780, 3807154270837281
OFFSET
0,4
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
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. this sequence (k=1), A292909 (k=2), A292910 (k=3), A292912 (k=4).
Sequence in context: A268103 A127145 A210423 * A292952 A328619 A365108
KEYWORD
sign,easy
AUTHOR
STATUS
approved