$$U_{338}(x, y) = \frac{- y \left(- 2 x^{2} - 2 x\right) - \sqrt{y \left(- 4 x - 4\right) + 1} + 1}{2 x^{2} y^{2} + 2 y}$$

$$T_{338}(n, m, k) = \frac{k {\binom{2 k + 2 m}{n}} {\binom{k + 2 m - n - 1}{m}}}{k + m}$$