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

%I #3 Mar 30 2012 16:49:46

%S 1,5,29,4679,115004,40990,109649679500,43576504,12773032712224,

%T 652563537985839568,637968792992,8571374386402604320,

%U 436474868374689040256,876434343149295070804288,35599183060918735547373871744,812962598599768399506819343144448,11292695814902576267980257280

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

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

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

%Y Cf. A086721.

%K nonn,frac

%O 0,2

%A _N. J. A. Sloane_, Jul 31 2003