Generating function
$$U_{889}(x, y) = \frac{\left(y + 1\right)^{3}}{\left(- \frac{x}{y + 1} + 1\right)^{2}}$$
Explicit formula
$$T_{889}(n, m, k) = {\binom{3 k - n}{m}} {\binom{2 k + n - 1}{n}}$$
| 1 | 3 | 3 | 1 | 0 | 0 | 0 |
| 2 | 4 | 2 | 0 | 0 | 0 | 0 |
| 3 | 3 | 0 | 0 | 0 | 0 | 0 |
| 4 | 0 | 0 | 0 | 0 | 0 | 0 |
| 5 | -5 | 5 | -5 | 5 | -5 | 5 |
| 6 | -12 | 18 | -24 | 3 | -36 | 42 |
| 7 | -21 | 42 | -7 | 105 | -147 | 196 |
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