$$U_{1352}(x, y) = x + \frac{1}{\left(1 - 4 y\right)^{\frac{3}{2}}}$$

$$T_{1352}(n, m, k) = 4^{m} {\binom{k}{n}} {\binom{\frac{3 k}{2} + m - \frac{3 n}{2} - 1}{m}}$$