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A003725
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Expansion of exp(x e^-x ).
(Formerly M1911)
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1
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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; internal format)
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OFFSET
| 0,4
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| a(n) = Sum_{k=0..n} (-k)^(n-k)*binomial(n, k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 15 2003
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MATHEMATICA
| With[{nn=30}, CoefficientList[Series[Exp[x Exp[-x]], {x, 0, nn}], x]Range[0, nn]!] (* From Harvey P. Dale, Oct 20 2011 *)
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CROSSREFS
| Cf. A000248, A069856, A072034.
Sequence in context: A038215 A119019 A127145 * A076930 A011068 A078149
Adjacent sequences: A003722 A003723 A003724 * A003726 A003727 A003728
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KEYWORD
| sign
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AUTHOR
| R. H. Hardin (rhhardin(AT)att.net)
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