$$U_{963}(x, y) = \frac{1 - \sqrt{- 4 x^{2} - 4 x y + 1}}{2 x^{2} + 2 x y}$$

$$T_{963}(n, m, k) = \begin{cases}\frac{k \left(k + n\right) {\binom{\frac{m}{2} + \frac{n}{2}}{m}} {\binom{k + m + n}{\frac{m}{2} + \frac{n}{2}}}}{k + m + n}&\text{if (n+m) % 2 = 0} ,\ \\0&\text{if (n+m) % 2 = 1} \end{cases} $$