$$U_{600}(x, y) = \frac{\sqrt{3} \left(\sqrt{4 y + 1} + 1\right) \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x}}$$

$$T_{600}(n, m, k) = \begin{cases}\frac{k {\binom{k + 3 n - 1}{n}}}{k + 2 n}&\text{if m=0 } ,\ \\\frac{\left(-1\right)^{m - 1} k^{2} {\binom{- k + 2 m - 1}{m - 1}} {\binom{k + 3 n - 1}{n}}}{m \left(k + 2 n\right)}&\text{if m>0} \end{cases} $$