Generating function
$$U_{856}(x, y) = \frac{\left(1 - \sqrt{- \frac{4 x}{y + 1} + 1}\right) \left(y + 1\right)^{3}}{2 x}$$
Explicit formula
$$T_{856}(n, m, k) = \frac{k {\binom{2 k - n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 2 | 0 | 0 | 0 | 0 | 0 | 0 |
| 5 | -5 | 5 | -5 | 5 | -5 | 5 |
| 14 | -28 | 42 | -56 | 7 | -84 | 98 |
| 42 | -126 | 252 | -42 | 63 | -882 | 1176 |
| 132 | -528 | 132 | -264 | 462 | -7392 | 11088 |
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