$$U_{365}(x, y) = \frac{y}{3} + \frac{\left(y + 1\right)^{2}}{9 \sqrt[3]{\frac{x}{2} + \frac{\sqrt{3} \sqrt{x \left(27 x + 4 \left(y + 1\right)^{3}\right)}}{18} + \frac{\left(y + 1\right)^{3}}{27}}} + \sqrt[3]{\frac{x}{2} + \frac{\sqrt{3} \sqrt{x \left(27 x + 4 \left(y + 1\right)^{3}\right)}}{18} + \frac{\left(y + 1\right)^{3}}{27}} + \frac{1}{3}$$

$$T_{365}(n, m, k) = \begin{cases}1&\text{if n+m=0} ,\ \\\frac{k {\binom{m + n}{m}} {\binom{k - 2 n - 1}{m + n - 1}}}{m + n} \end{cases} $$