Generating function
$$U_{882}(x, y) = \frac{\left(y + 1\right)^{3}}{\left(- \frac{x}{\left(y + 1\right)^{2}} + 1\right)^{2}}$$
Explicit formula
$$T_{882}(n, m, k) = {\binom{3 k - 2 n}{m}} {\binom{2 k + n - 1}{n}}$$
| 1 | 3 | 3 | 1 | 0 | 0 | 0 |
| 2 | 2 | 0 | 0 | 0 | 0 | 0 |
| 3 | -3 | 3 | -3 | 3 | -3 | 3 |
| 4 | -12 | 24 | -4 | 6 | -84 | 112 |
| 5 | -25 | 75 | -175 | 35 | -63 | 105 |
| 6 | -42 | 168 | -504 | 126 | -2772 | 5544 |
| 7 | -63 | 315 | -1155 | 3465 | -9009 | 21021 |
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