Generating function
$$U_{209}(x, y) = \frac{- x^{2} - 2 x - 1}{y \left(x + 1\right) - 1}$$
Explicit formula
$$T_{209}(n, m, k) = {\binom{2 k + m}{n}} {\binom{k + m - 1}{m}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 1 | 3 | 6 | 1 | 15 | 21 | 28 |
| 0 | 1 | 4 | 1 | 2 | 35 | 56 |
| 0 | 0 | 1 | 5 | 15 | 35 | 7 |
| 0 | 0 | 0 | 1 | 6 | 21 | 56 |
| 0 | 0 | 0 | 0 | 1 | 7 | 28 |
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