Generating function
$$U_{98}(x, y) = \frac{1}{\left(- x - y + 1\right)^{2}}$$
Explicit formula
$$T_{98}(n, m, k) = {\binom{m + n}{n}} {\binom{2 k + m + n - 1}{m + n}}$$
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 2 | 6 | 12 | 2 | 3 | 42 | 56 |
| 3 | 12 | 3 | 6 | 105 | 168 | 252 |
| 4 | 2 | 6 | 14 | 28 | 504 | 84 |
| 5 | 3 | 105 | 28 | 63 | 126 | 231 |
| 6 | 42 | 168 | 504 | 126 | 2772 | 5544 |
| 7 | 56 | 252 | 84 | 231 | 5544 | 12012 |
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