Generating function
$$U_{893}(x, y) = \frac{1}{\left(1 - y\right)^{2} \left(- x \left(1 - y\right) + 1\right)^{2}}$$
Explicit formula
$$T_{893}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{2 k + m - n - 1}{m}}$$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
2 | 2 | 2 | 2 | 2 | 2 | 2 |
3 | 0 | 0 | 0 | 0 | 0 | 0 |
4 | -4 | 0 | 0 | 0 | 0 | 0 |
5 | -1 | 5 | 0 | 0 | 0 | 0 |
6 | -18 | 18 | -6 | 0 | 0 | 0 |
7 | -28 | 42 | -28 | 7 | 0 | 0 |
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