Generating function
$$U_{1018}(x, y) = \left(x + 1\right)^{3} \left(y + 1\right)^{2}$$
Explicit formula
$$T_{1018}(n, m, k) = {\binom{2 k}{m}} {\binom{3 k}{n}}$$
1 | 2 | 1 | 0 | 0 | 0 | 0 |
3 | 6 | 3 | 0 | 0 | 0 | 0 |
3 | 6 | 3 | 0 | 0 | 0 | 0 |
1 | 2 | 1 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
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