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A003725 Expansion of exp(x e^-x ).
(Formerly M1911)
+0
2
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; listen)
OFFSET

0,4

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

FORMULA

a(n) = Sum_{k=0..n} (-k)^(n-k)*binomial(n, k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 15 2003

MATHEMATICA

Exp[ x*Exp[ -x ] ]

CROSSREFS

Cf. A000248, A069856, A072034.

Sequence in context: A038215 A119019 A127145 this_sequence A076930 A011068 A078149

Adjacent sequences: A003722 A003723 A003724 this_sequence A003726 A003727 A003728

KEYWORD

sign

AUTHOR

R. H. Hardin (rhhardin(AT)att.net)

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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