Generating function
$$U_{325}(x, y) = \frac{1}{\left(x + 1\right) \left(x y + 1\right)}$$
Explicit formula
$$T_{325}(n, m, k) = \begin{cases}0&\text{if n<m} ,\ \\\left(-1\right)^{n} {\binom{k + m - 1}{m}} {\binom{k - m + n - 1}{- m + n}} \end{cases} $$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| -1 | -1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 0 | 0 | 0 | 0 |
| -1 | -1 | -1 | -1 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| -1 | -1 | -1 | -1 | -1 | -1 | 0 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
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