Generating function
$$U_{173}(x, y) = \frac{- y \left(x - 1\right) + 1}{\left(1 - x\right)^{2}}$$
Explicit formula
$$T_{173}(n, m, k) = {\binom{k}{m}} {\binom{2 k - m + n - 1}{n}}$$
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 2 | 1 | 0 | 0 | 0 | 0 | 0 |
| 3 | 1 | 0 | 0 | 0 | 0 | 0 |
| 4 | 1 | 0 | 0 | 0 | 0 | 0 |
| 5 | 1 | 0 | 0 | 0 | 0 | 0 |
| 6 | 1 | 0 | 0 | 0 | 0 | 0 |
| 7 | 1 | 0 | 0 | 0 | 0 | 0 |
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