$$U_{1147}(x, y) = \frac{1}{\left(- \frac{x}{\left(1 - y\right)^{2}} + 1\right)^{3}}$$

$$T_{1147}(n, m, k) = {\binom{3 k + n - 1}{n}} {\binom{m + 2 n - 1}{m}}$$