$$U_{1084}(x, y) = \frac{\left(1 - \sqrt{1 - 4 y}\right) \left(- 2 x - \sqrt{1 - 4 x} + 1\right)^{2}}{8 x^{4} y}$$

$$T_{1084}(n, m, k) = \frac{2 k^{2} {\binom{4 k + 2 n}{n}} {\binom{k + 2 m - 1}{m}}}{\left(k + m\right) \left(2 k + n\right)}$$