$$U_{775}(x, y) = \frac{4 \left(y + 1\right)^{2} \sin^{2}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 x}$$

$$T_{775}(n, m, k) = \frac{k {\binom{2 k}{m}} {\binom{2 k + 3 n - 1}{n}}}{k + n}$$