$$U_{1156}(x, y) = \frac{y^{3} \left(4 - 4 \sqrt{- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}{2 y^{3}} + 1}\right)}{x \left(1 - \sqrt{1 - 4 y}\right)^{3}}$$

$$T_{1156}(n, m, k) = \frac{3 k n {\binom{k + 2 n - 1}{n}} {\binom{2 m + 3 n - 1}{m}}}{\left(k + n\right) \left(m + 3 n\right)}$$