Generating function
$$U_{801}(x, y) = \frac{1}{\left(- \frac{x}{1 - y} + 1\right)^{2}}$$
Explicit formula
$$T_{801}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{m + n - 1}{m}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 3 | 6 | 9 | 12 | 15 | 18 | 21 |
| 4 | 12 | 24 | 4 | 6 | 84 | 112 |
| 5 | 2 | 5 | 1 | 175 | 28 | 42 |
| 6 | 3 | 9 | 21 | 42 | 756 | 126 |
| 7 | 42 | 147 | 392 | 882 | 1764 | 3234 |
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