Generating function
$$U_{329}(x, y) = \frac{1 - \sqrt{y \left(4 x^{2} + 8 x + 4\right) + 1}}{2 x + 2}$$
Explicit formula
$$T_{329}(n, m, k) = \begin{cases}0&\text{if m<k} ,\ \\- \frac{\left(-1\right)^{n} k {\binom{k - m - 1}{m - 1}} {\binom{k - 2 m + n - 1}{n}}}{m} \end{cases} $$
| 0 | -1 | 1 | -2 | 5 | -14 | 42 |
| 0 | -1 | 3 | -1 | 35 | -126 | 462 |
| 0 | 0 | 3 | -2 | 105 | -504 | 231 |
| 0 | 0 | 1 | -2 | 175 | -1176 | 693 |
| 0 | 0 | 0 | -1 | 175 | -1764 | 1386 |
| 0 | 0 | 0 | -2 | 105 | -1764 | 19404 |
| 0 | 0 | 0 | 0 | 35 | -1176 | 19404 |
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