Generating function
$$U_{672}(x, y) = \frac{\sqrt{\frac{4 x}{1 - y} + 1} - 1}{2 x}$$
Explicit formula
$$T_{672}(n, m, k) = \frac{\left(-1\right)^{k + n - 1} k {\binom{k + 2 n - 1}{k + n - 1}} {\binom{k + m + n - 1}{m}}}{k + n}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| -1 | -2 | -3 | -4 | -5 | -6 | -7 |
| 2 | 6 | 12 | 2 | 3 | 42 | 56 |
| -5 | -2 | -5 | -1 | -175 | -28 | -42 |
| 14 | 7 | 21 | 49 | 98 | 1764 | 294 |
| -42 | -252 | -882 | -2352 | -5292 | -10584 | -19404 |
| 132 | 924 | 3696 | 11088 | 2772 | 60984 | 121968 |
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