Generating function
$$U_{1136}(x, y) = \frac{1}{\left(- \frac{x}{\left(1 - y\right)^{2}} + 1\right)^{2}}$$
Explicit formula
$$T_{1136}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{m + 2 n - 1}{m}}$$
Data table
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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