$$U_{1054}(x, y) = \frac{\left(1 - \sqrt{1 - 4 x}\right) \left(1 - \sqrt{1 - 4 y}\right)^{3}}{16 x y^{3}}$$

$$T_{1054}(n, m, k) = \frac{3 k^{2} {\binom{k + 2 n - 1}{n}} {\binom{3 k + 2 m - 1}{m}}}{\left(k + n\right) \left(3 k + m\right)}$$