Generating function
$$U_{866}(x, y) = \frac{1}{\left(1 - y\right)^{5} \left(- x + \frac{1}{\left(1 - y\right)^{3}}\right)}$$
Explicit formula
$$T_{866}(n, m, k) = {\binom{k + n - 1}{n}} {\binom{2 k + m - 3 n - 1}{m}}$$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
1 | -1 | 0 | 0 | 0 | 0 | 0 |
1 | -4 | 6 | -4 | 1 | 0 | 0 |
1 | -7 | 21 | -35 | 35 | -21 | 7 |
1 | -1 | 45 | -12 | 21 | -252 | 21 |
1 | -13 | 78 | -286 | 715 | -1287 | 1716 |
1 | -16 | 12 | -56 | 182 | -4368 | 8008 |
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