$$U_{176}(x, y) = \frac{1 - \sqrt{- 4 y \left(x + 1\right)^{4} + 1}}{2 y \left(x + 1\right)^{3}}$$

$$T_{176}(n, m, k) = \frac{k {\binom{k + 2 m}{m}} {\binom{k + 4 m}{n}}}{k + 2 m}$$