$$U_{1149}(x, y) = \frac{1}{\left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)}{2 y} + 1\right)^{3}}$$

$$T_{1149}(n, m, k) = \frac{n {\binom{3 k + n - 1}{n}} {\binom{2 m + n - 1}{m}}}{m + n}$$