Generating function
$$U_{38}(x, y) = \frac{1}{- x y - x + 1}$$
Explicit formula
$$T_{38}(n, m, k) = {\binom{k + n - 1}{m}} {\binom{k - m + n - 1}{k - 1}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 1 | 3 | 3 | 1 | 0 | 0 | 0 |
| 1 | 4 | 6 | 4 | 1 | 0 | 0 |
| 1 | 5 | 1 | 1 | 5 | 1 | 0 |
| 1 | 6 | 15 | 2 | 15 | 6 | 1 |
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