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%I M1911 #38 Jun 25 2018 15:30:38
%S 1,1,-1,-2,9,-4,-95,414,49,-10088,55521,-13870,-2024759,15787188,
%T -28612415,-616876274,7476967905,-32522642896,-209513308607,
%U 4924388011050,-38993940088199,11731860520780,3807154270837281
%N E.g.f.: exp( x * exp(-x) ).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Seiichi Manyama, <a href="/A003725/b003725.txt">Table of n, a(n) for n = 0..557</a>
%F a(n) = Sum_{k=0..n} (-k)^(n-k)*binomial(n, k). - _Vladeta Jovovic_, Mar 15 2003
%F First column of A215652. - _Peter Bala_, Sep 14 2012
%F G.f.: Sum_{k>=0} x^k/(1 + k*x)^(k+1). - _Ilya Gutkovskiy_, Jun 25 2018
%t With[{nn=30},CoefficientList[Series[Exp[x Exp[-x]],{x,0,nn}],x]Range[0,nn]!] (* _Harvey P. Dale_, Oct 20 2011 *)
%o (PARI) Vec(serlaplace(exp(exp(-x) * x))) \\ _Charles R Greathouse IV_, Sep 26 2017
%Y Cf. A000248, A069856, A072034. A215652.
%Y Cf. this sequence (k=1), A292909 (k=2), A292910 (k=3), A292912 (k=4).
%K sign,easy
%O 0,4
%A _R. H. Hardin_
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