$$U_{472}(x, y) = \frac{\left(1 - \sqrt{1 - 4 x}\right) \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right)}{2 x}$$

$$T_{472}(n, m, k) = \begin{cases}\frac{k {\binom{k + 2 n - 1}{n}}}{k + n}&\text{if m=0} ,\ \\\frac{\left(-1\right)^{m - 1} k^{2} {\binom{- k + 3 m - 1}{m - 1}} {\binom{k + 2 n - 1}{n}}}{m \left(k + n\right)} \end{cases} $$