Generating function
$$U_{1109}(x, y) = \left(\frac{x}{1 - y} + 1\right)^{2}$$
Explicit formula
$$T_{1109}(n, m, k) = {\binom{2 k}{n}} {\binom{m + n - 1}{m}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 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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