Generating function
$$U_{95}(x, y) = \frac{x + y}{\left(- x - y + 1\right)^{3}}$$
Explicit formula
$$T_{95}(n, m, k) = {\binom{m + n}{m}} {\binom{2 k + m + n - 1}{- k + m + n}}$$
| 0 | 1 | 3 | 6 | 1 | 15 | 21 |
| 1 | 6 | 18 | 4 | 75 | 126 | 196 |
| 3 | 18 | 6 | 15 | 315 | 588 | 1008 |
| 6 | 4 | 15 | 42 | 98 | 2016 | 378 |
| 1 | 75 | 315 | 98 | 252 | 567 | 1155 |
| 15 | 126 | 588 | 2016 | 567 | 1386 | 30492 |
| 21 | 196 | 1008 | 378 | 1155 | 30492 | 72072 |
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