Generating function
$$U_{879}(x, y) = \frac{\left(y + 1\right)^{2}}{\left(- \frac{x}{y + 1} + 1\right)^{2}}$$
Explicit formula
$$T_{879}(n, m, k) = {\binom{2 k - n}{m}} {\binom{2 k + n - 1}{n}}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 2 | 2 | 0 | 0 | 0 | 0 | 0 |
| 3 | 0 | 0 | 0 | 0 | 0 | 0 |
| 4 | -4 | 4 | -4 | 4 | -4 | 4 |
| 5 | -1 | 15 | -2 | 25 | -3 | 35 |
| 6 | -18 | 36 | -6 | 9 | -126 | 168 |
| 7 | -28 | 7 | -14 | 245 | -392 | 588 |
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