Generating function
$$U_{1136}(x, y) = \frac{1}{\left(- \frac{x}{\left(1 - y\right)^{2}} + 1\right)^{2}}$$
Explicit formula
$$T_{1136}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{m + 2 n - 1}{m}}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 4 | 6 | 8 | 1 | 12 | 14 |
3 | 12 | 3 | 6 | 105 | 168 | 252 |
4 | 24 | 84 | 224 | 504 | 1008 | 1848 |
5 | 4 | 18 | 6 | 165 | 396 | 858 |
6 | 6 | 33 | 132 | 429 | 12012 | 3003 |
7 | 84 | 546 | 2548 | 9555 | 30576 | 86632 |
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