Generating function
$$U_{850}(x, y) = \frac{1}{\left(1 - y\right) \left(- \frac{x}{1 - y} + 1\right)^{2}}$$
Explicit formula
$$T_{850}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{k + m + n - 1}{m}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 4 | 6 | 8 | 1 | 12 | 14 |
| 3 | 9 | 18 | 3 | 45 | 63 | 84 |
| 4 | 16 | 4 | 8 | 14 | 224 | 336 |
| 5 | 25 | 75 | 175 | 35 | 63 | 105 |
| 6 | 36 | 126 | 336 | 756 | 1512 | 2772 |
| 7 | 49 | 196 | 588 | 147 | 3234 | 6468 |
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