$$U_{36}(x, y) = \frac{1 - \sqrt{x \left(- 4 y - 4\right) + 1}}{2 x}$$

$$T_{36}(n, m, k) = \begin{cases}1&\text{if m=0 and n=0} ,\ \\\frac{k {\binom{k + n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}&\text{if m>0 or n>0} \end{cases} $$