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

1,2

REFERENCES

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

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

LINKS

Table of n, a(n) for n=1..21.

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

CROSSREFS

Cf. A067000.

Sequence in context: A222169 A222444 A206492 * A316220 A059728 A257180

Adjacent sequences:  A007680 A007681 A007682 * A007684 A007685 A007686

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 22 18:55 EDT 2018. Contains 316500 sequences. (Running on oeis4.)