Generating function
$$U_{667}(x, y) = \frac{y^{2} + 2 y + 1}{x + 1}$$
Explicit formula
$$T_{667}(n, m, k) = \left(-1\right)^{n} {\binom{2 k}{m}} {\binom{k + n - 1}{n}}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| -1 | -2 | -1 | 0 | 0 | 0 | 0 |
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| -1 | -2 | -1 | 0 | 0 | 0 | 0 |
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| -1 | -2 | -1 | 0 | 0 | 0 | 0 |
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
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