$$U_{116}(x, y) = \frac{2}{- 2 x y + y^{2} + \left(x - 1\right)^{2} + \sqrt{- 4 y + \left(- x + y + 1\right)^{2}} \left(- x + y + 1\right)}$$

$$T_{116}(n, m, k) = \begin{cases}1&\text{if n=0,m=0} ,\ \\\frac{2 k {\binom{m + n}{m}} {\binom{2 k + m + n - 1}{2 k + m}}}{m + n} \end{cases} $$