Generating function
$$U_{845}(x, y) = \frac{1}{x y^{3} - x + y^{2} \left(1 - 3 x\right) + y \left(3 x - 2\right) + 1}$$
Explicit formula
$$T_{845}(n, m, k) = {\binom{k + n - 1}{n}} {\binom{2 k + m - n - 1}{m}}$$
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | -1 | 0 | 0 | 0 | 0 | 0 |
| 1 | -2 | 1 | 0 | 0 | 0 | 0 |
| 1 | -3 | 3 | -1 | 0 | 0 | 0 |
| 1 | -4 | 6 | -4 | 1 | 0 | 0 |
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