Generating function
$$U_{870}(x, y) = \frac{1}{\left(1 - y\right)^{3} \left(- x \left(1 - y\right)^{5} + 1\right)}$$
Explicit formula
$$T_{870}(n, m, k) = {\binom{k + n - 1}{n}} {\binom{3 k + m - 5 n - 1}{m}}$$
| 1 | 3 | 6 | 1 | 15 | 21 | 28 |
| 1 | -2 | 1 | 0 | 0 | 0 | 0 |
| 1 | -7 | 21 | -35 | 35 | -21 | 7 |
| 1 | -12 | 66 | -22 | 495 | -792 | 924 |
| 1 | -17 | 136 | -68 | 238 | -6188 | 12376 |
| 1 | -22 | 231 | -154 | 7315 | -26334 | 74613 |
| 1 | -27 | 351 | -2925 | 1755 | -8073 | 29601 |
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