Generating function
$$U_{862}(x, y) = \frac{\left(y + 1\right)^{8}}{- x + \left(y + 1\right)^{5}}$$
Explicit formula
$$T_{862}(n, m, k) = {\binom{3 k - 5 n}{m}} {\binom{k + n - 1}{n}}$$
| 1 | 3 | 3 | 1 | 0 | 0 | 0 |
| 1 | -2 | 3 | -4 | 5 | -6 | 7 |
| 1 | -7 | 28 | -84 | 21 | -462 | 924 |
| 1 | -12 | 78 | -364 | 1365 | -4368 | 12376 |
| 1 | -17 | 153 | -969 | 4845 | -20349 | 74613 |
| 1 | -22 | 253 | -2024 | 1265 | -6578 | 29601 |
| 1 | -27 | 378 | -3654 | 27405 | -169911 | 906192 |
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