$$U_{362}(x, y) = \frac{y^{2}}{2} + y + \frac{\sqrt{4 x + y^{4} + 4 y^{3} + 6 y^{2} + 4 y + 1}}{2} + \frac{1}{2}$$

$$T_{362}(n, m, k) = \begin{cases}\frac{k {\binom{2 k - 4 n}{m}} {\binom{k - n - 1}{n - 1}}}{n}&\text{if n>0} ,\ \\{\binom{2 k}{m}}&\text{if n=0} \end{cases} $$