Generating function
$$U_{369}(x, y) = x + \frac{1}{\left(1 - y\right)^{2}}$$
Explicit formula
$$T_{369}(n, m, k) = {\binom{k}{n}} {\binom{2 k + m - 2 n - 1}{m}}$$
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 1 | 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 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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