$$U_{1142}(x, y) = \frac{1}{\left(- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}} + 1\right)^{2}}$$

$$T_{1142}(n, m, k) = \frac{3 n {\binom{2 m + 6 n}{m}} {\binom{2 k + n - 1}{n}}}{m + 3 n}$$