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A007683 a(1) = 1; a(n) = - Sum (n+k)!a(k)/(2k)!, k = 1..n-1.
(Formerly M2289)
+0
3
1, -3, 3, 9, 21, -33, -1173, -13515, -113739, -532209, 6284379, 264830061, 5897799141, 104393462439, 1459983940203, 10308316834293, -308010522508395, -19576840707893409, -726806556195360069, -22261372611370303875, -591210850189999983099 (list; graph; listen)
OFFSET

1,2

REFERENCES

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

H. W. Gould, A class of binomial sums and a series transformation, Utilitas Math., 45 (1994), 71-83.

CROSSREFS

Cf. A067000.

Sequence in context: A038221 A099465 A099094 this_sequence A059728 A083008 A117976

Adjacent sequences: A007680 A007681 A007682 this_sequence A007684 A007685 A007686

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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