$$U_{127}(x, y) = y \left(2 x + 1\right) + \sqrt{y^{2} \left(4 x^{2} + 4 x\right) + 1}$$

$$T_{127}(n, m, k) = \frac{4^{n} k {\binom{k + n}{k - m + 2 n}} {\binom{\frac{k}{2} - \frac{m}{2} + n}{n}}}{k + n}$$