Generating function
$$U_{861}(x, y) = \frac{\left(1 - \sqrt{- \frac{4 x}{\left(y + 1\right)^{2}} + 1}\right) \left(y + 1\right)^{5}}{2 x}$$
Explicit formula
$$T_{861}(n, m, k) = \frac{k {\binom{3 k - 2 n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
| 1 | 3 | 3 | 1 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 2 | -2 | 2 | -2 | 2 | -2 | 2 |
| 5 | -15 | 3 | -5 | 75 | -105 | 14 |
| 14 | -7 | 21 | -49 | 98 | -1764 | 294 |
| 42 | -294 | 1176 | -3528 | 882 | -19404 | 38808 |
| 132 | -1188 | 594 | -2178 | 6534 | -169884 | 396396 |
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