$$U_{1462}(x, y) = \frac{- 2 x \left(y + 1\right)^{3} - \sqrt{- 4 x \left(y + 1\right)^{3} + 1} + 1}{2 x^{2} \left(y + 1\right)^{5}}$$

$$T_{1462}(n, m, k) = \frac{k {\binom{k + 3 n}{m}} {\binom{2 k + 2 n}{n}}}{k + n}$$