Generating function
$$U_{68}(x, y) = \frac{1 - \sqrt{1 - 4 x}}{2 x \left(1 - y\right)}$$
Explicit formula
$$T_{68}(n, m, k) = \frac{k {\binom{k + m - 1}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 14 | 14 | 14 | 14 | 14 | 14 | 14 |
| 42 | 42 | 42 | 42 | 42 | 42 | 42 |
| 132 | 132 | 132 | 132 | 132 | 132 | 132 |
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