A007683 a(1) = 1; a(n) = -Sum_{k = 1..n-1} (n+k)!a(k)/(2k)!.

1, -3, 3, 9, 21, -33, -1173, -13515, -113739, -532209, 6284379, 264830061, 5897799141, 104393462439, 1459983940203, 10308316834293, -308010522508395, -19576840707893409, -726806556195360069, -22261372611370303875, -591210850189999983099

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign

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

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

Crossrefs

Cf. A067000.