$$U_{592}(x, y) = \frac{x \left(\sqrt{4 y + 1} + 1\right)^{3}}{8} + \frac{\sqrt{4 y + 1}}{2} + \frac{1}{2}$$

$$T_{592}(n, m, k) = \begin{cases}{\binom{k}{n}}&\text{if m==0} ,\ \\\frac{\left(-1\right)^{m - 1} \left(k + 2 n\right) {\binom{k}{n}} {\binom{- k + 2 m - 2 n - 1}{m - 1}}}{m}&\text{if m>0} \end{cases} $$