Generating function
$$U_{76}(x, y) = \frac{1}{- y + \left(1 - x\right)^{2}}$$
Explicit formula
$$T_{76}(n, m, k) = {\binom{k + m - 1}{m}} {\binom{2 k + 2 m + n - 1}{n}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 4 | 6 | 8 | 1 | 12 | 14 |
| 3 | 1 | 21 | 36 | 55 | 78 | 105 |
| 4 | 2 | 56 | 12 | 22 | 364 | 56 |
| 5 | 35 | 126 | 33 | 715 | 1365 | 238 |
| 6 | 56 | 252 | 792 | 2002 | 4368 | 8568 |
| 7 | 84 | 462 | 1716 | 5005 | 12376 | 27132 |
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