Generating function
$$U_{680}(x, y) = \frac{x}{\sqrt{1 - 4 y}} + 1$$
Explicit formula
$$T_{680}(n, m, k) = 4^{m} {\binom{k}{n}} {\binom{m + \frac{n}{2} - 1}{m}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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