$$U_{275}(x, y) = x^{3} + y^{2} + y$$

$$\delta{(a, b)} = \begin{cases}1&\text{if a = b},\\ 0 \end{cases} $$$$T_{275}(n, m, k) = \begin{cases}0&\text{if n>3} ,\ \\\left(\delta{\left(0,n\bmod{3} \right)}\right) {\binom{k}{\frac{n}{3}}} {\binom{k - \frac{n}{3}}{- k + m + \frac{n}{3}}} \end{cases} $$