Generating function
$$U_{201}(x, y) = \frac{1}{- \frac{y}{\left(1 - x\right)^{2}} + \frac{1}{1 - x}}$$
Explicit formula
$$T_{201}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{- k + m + n - 1}{n}}}{k + m}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| -1 | 0 | 1 | 2 | 3 | 4 | 5 |
| 0 | 0 | 1 | 3 | 6 | 1 | 15 |
| 0 | 0 | 1 | 4 | 1 | 2 | 35 |
| 0 | 0 | 1 | 5 | 15 | 35 | 7 |
| 0 | 0 | 1 | 6 | 21 | 56 | 126 |
| 0 | 0 | 1 | 7 | 28 | 84 | 21 |
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