$$U_{1363}(x, y) = \frac{3^{\frac{3}{4}} \sqrt{\frac{\sin{\left(\frac{\operatorname{asin}{\left(3 \sqrt{3} \sqrt{y} \right)}}{3} \right)}}{\sqrt{y}}} \left(x + 1\right)}{3}$$

$$T_{1363}(n, m, k) = \begin{cases}1&\text{if n=0 , m=0 , k=0} ,\ \\\frac{4^{m} k {\binom{k}{n}} {\binom{\frac{k}{2} + 3 m - 1}{m}}}{k + 4 m}&\text{if k even} ,\ \\\frac{k {\binom{k}{n}} {\binom{\frac{k}{2} + 3 m - \frac{1}{2}}{m}} {\binom{k + 6 m - 1}{\frac{k}{2} + 3 m - \frac{1}{2}}}}{\left(k + 4 m\right) {\binom{k + 4 m - 1}{\frac{k}{2} + 2 m - \frac{1}{2}}}}&\text{if k odd} \end{cases} $$