$$U_{165}(x, y) = \frac{x^{2} - 2 x + \sqrt{x^{4} - 4 x^{3} + 6 x^{2} - 4 x + y \left(4 - 4 x\right) + 1} + 1}{2 x^{2} - 4 x + 2}$$

$$T_{165}(n, m, k) = \begin{cases}1&\text{if n=0,m=0} ,\ \\0&\text{if m=0} ,\ \\\frac{\left(-1\right)^{m - 1} k {\binom{- k + 2 m - 1}{m - 1}} {\binom{3 m + n - 1}{n}}}{m} \end{cases} $$