Generating function
$$U_{189}(x, y) = - \frac{1}{x + y \left(x^{2} - 2 x + 1\right) - 1}$$
Explicit formula
$$T_{189}(n, m, k) = {\binom{k + m - 1}{m}} {\binom{k - m + n - 1}{n}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 0 | -1 | -2 | -3 | -4 | -5 |
| 1 | 0 | 0 | 1 | 3 | 6 | 1 |
| 1 | 0 | 0 | 0 | -1 | -4 | -1 |
| 1 | 0 | 0 | 0 | 0 | 1 | 5 |
| 1 | 0 | 0 | 0 | 0 | 0 | -1 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
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