\[{{}_{3}F_{2}}\left({-n,a,1-a\atop d,1-d-2n};1\right)=\frac{{\left(\frac{1}{2}(%
a+d)\right)_{n}}{\left(\frac{1}{2}(d-a+1)\right)_{n}}}{{\left(\frac{1}{2}d%
\right)_{n}}{\left(\frac{1}{2}(d+1)\right)_{n}}},\]