$$U_{1094}(x, y) = \frac{\left(- 2 x - \sqrt{1 - 4 x} + 1\right)^{3}}{8 x^{6} \left(1 - y\right)^{2}}$$

$$T_{1094}(n, m, k) = \frac{3 k {\binom{6 k + 2 n}{n}} {\binom{2 k + m - 1}{m}}}{3 k + n}$$