Generating function
$$U_{989}(x, y) = \frac{1 - \sqrt{- 4 x \left(y + 1\right) + 1}}{2 x \left(y + 1\right)^{2}}$$
Explicit formula
$$T_{989}(n, m, k) = \frac{k {\binom{- k + n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
1 | -1 | 1 | -1 | 1 | -1 | 1 |
1 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 2 | 0 | 0 | 0 | 0 | 0 |
5 | 1 | 5 | 0 | 0 | 0 | 0 |
14 | 42 | 42 | 14 | 0 | 0 | 0 |
42 | 168 | 252 | 168 | 42 | 0 | 0 |
132 | 66 | 132 | 132 | 66 | 132 | 0 |
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