Generating function
$$U_{441}(x, y) = \frac{\left(y + 1\right)^{2}}{\left(1 - x\right)^{2}}$$
Explicit formula
$$T_{441}(n, m, k) = {\binom{2 k}{m}} {\binom{2 k + n - 1}{n}}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 2 | 4 | 2 | 0 | 0 | 0 | 0 |
| 3 | 6 | 3 | 0 | 0 | 0 | 0 |
| 4 | 8 | 4 | 0 | 0 | 0 | 0 |
| 5 | 1 | 5 | 0 | 0 | 0 | 0 |
| 6 | 12 | 6 | 0 | 0 | 0 | 0 |
| 7 | 14 | 7 | 0 | 0 | 0 | 0 |
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