Generating function
$$U_{1134}(x, y) = \frac{1}{\left(- x \left(y + 1\right)^{2} + 1\right)^{2}}$$
Explicit formula
$$T_{1134}(n, m, k) = {\binom{2 n}{m}} {\binom{2 k + n - 1}{n}}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 4 | 2 | 0 | 0 | 0 | 0 |
3 | 12 | 18 | 12 | 3 | 0 | 0 |
4 | 24 | 6 | 8 | 6 | 24 | 4 |
5 | 4 | 14 | 28 | 35 | 28 | 14 |
6 | 6 | 27 | 72 | 126 | 1512 | 126 |
7 | 84 | 462 | 154 | 3465 | 5544 | 6468 |
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