Generating function
$$U_{1022}(x, y) = \frac{\left(x + 1\right)^{3}}{\left(1 - y\right)^{3}}$$
Explicit formula
$$T_{1022}(n, m, k) = {\binom{3 k}{n}} {\binom{3 k + m - 1}{m}}$$
| 1 | 3 | 6 | 1 | 15 | 21 | 28 |
| 3 | 9 | 18 | 3 | 45 | 63 | 84 |
| 3 | 9 | 18 | 3 | 45 | 63 | 84 |
| 1 | 3 | 6 | 1 | 15 | 21 | 28 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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