$$U_{468}(x, y) = \frac{\sqrt{3} \sqrt{y \left(16 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)} - 12\right) + 3} - 3}{y \left(8 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x}}{2} \right)}}{3} \right)} - 6\right)}$$

$$T_{468}(n, m, k) = \begin{cases}\frac{k {\binom{k + 2 m - 1}{m}}}{k + m}&\text{if n=0} ,\ \\\frac{\left(-1\right)^{n - 1} k m {\binom{k + 2 m - 1}{m}} {\binom{- m + 3 n - 1}{n - 1}}}{n \left(k + m\right)} \end{cases} $$