$$U_{1162}(x, y) = \frac{\left(1 - y\right)^{6} \left(1 - \sqrt{- \frac{4 x}{\left(1 - y\right)^{3}} + 1}\right)^{2}}{4 x^{2}}$$

$$T_{1162}(n, m, k) = \frac{2 k {\binom{2 k + 2 n - 1}{n}} {\binom{m + 3 n - 1}{m}}}{2 k + n}$$