$$U_{692}(x, y) = x \left(1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- y}}{2} \right)}}{3} \right)}}{3}\right) + 1$$

$$T_{692}(n, m, k) = \begin{cases}{\binom{k}{n}}&\text{if m=0} ,\ \\\frac{\left(-1\right)^{m - 1} n {\binom{k}{n}} {\binom{3 m - n - 1}{m - 1}}}{m}&\text{if m>0} \end{cases} $$