Generating function
$$U_{180}(x, y) = \frac{1}{- x^{2} - 2 x + y \left(x + 1\right) - 1}$$
Explicit formula
$$T_{180}(n, m, k) = \left(-1\right)^{- k + n} {\binom{k + m - 1}{m}} {\binom{2 k + m + n - 1}{n}}$$
| -1 | -1 | -1 | -1 | -1 | -1 | -1 |
| 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| -3 | -6 | -1 | -15 | -21 | -28 | -36 |
| 4 | 1 | 2 | 35 | 56 | 84 | 12 |
| -5 | -15 | -35 | -7 | -126 | -21 | -33 |
| 6 | 21 | 56 | 126 | 252 | 462 | 792 |
| -7 | -28 | -84 | -21 | -462 | -924 | -1716 |
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