$$U_{1174}(x, y) = \frac{y^{3} \left(1 - \sqrt{- \frac{2 x \left(1 - \sqrt{1 - 4 y}\right)}{y} + 1}\right)^{3}}{x^{3} \left(1 - \sqrt{1 - 4 y}\right)^{3}}$$

$$T_{1174}(n, m, k) = \frac{3 k n {\binom{3 k + 2 n - 1}{n}} {\binom{2 m + n - 1}{m}}}{\left(3 k + n\right) \left(m + n\right)}$$