Generating function
$$U_{11}(x, y) = \frac{x + 1}{- y \left(x + 1\right) + 1}$$
Explicit formula
$$T_{11}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{k + m}{n}}}{k + m}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 0 | 1 | 3 | 6 | 1 | 15 | 21 |
| 0 | 0 | 1 | 4 | 1 | 2 | 35 |
| 0 | 0 | 0 | 1 | 5 | 15 | 35 |
| 0 | 0 | 0 | 0 | 1 | 6 | 21 |
| 0 | 0 | 0 | 0 | 0 | 1 | 7 |
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