$$U_{272}(x, y) = x^{2} + x + y^{2}$$

$$T_{272}(n, m, k) = \left(\frac{\left(-1\right)^{m}}{2} + \frac{1}{2}\right) {\binom{k}{\frac{m}{2}}} {\binom{k - \frac{m}{2}}{- k + \frac{m}{2} + n}}$$