$$U_{752}(x, y) = \frac{y^{6} \left(- \frac{2 x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{y^{4}} - 4 \sqrt{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{y^{4}} + 1} + 4\right)}{x^{2} \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}$$

$$T_{752}(n, m, k) = \frac{k \left(k + 2 n\right) {\binom{2 k + 2 n}{n}} {\binom{2 k + 2 m + 4 n}{m}}}{\left(k + n\right) \left(k + m + 2 n\right)}$$