A086720 Numerator of Sum(binomial(n,k)/(n^2+k^2+1), k=0..n).

1, 5, 29, 4679, 115004, 40990, 109649679500, 43576504, 12773032712224, 652563537985839568, 637968792992, 8571374386402604320, 436474868374689040256, 876434343149295070804288, 35599183060918735547373871744, 812962598599768399506819343144448, 11292695814902576267980257280

Offset

0,2

References

W. Koepf, Hypergeometric Summation, Vieweg, 1998, p. 53.

Links

Table of n, a(n) for n=0..16.

Example

1, 5/6, 29/45, 4679/7315, 115004/153153, 40990/41769, ...

Crossrefs

Cf. A086721.

Sequence in context: A057705 A237188 A371347 * A056869 A228028 A237256

Adjacent sequences: A086717 A086718 A086719 * A086721 A086722 A086723

Keyword

nonn,frac

Author

N. J. A. Sloane, Jul 31 2003

Status

approved