Generating function
$$U_{196}(x, y) = - \frac{1}{x + y \left(1 - x\right)^{3} - 1}$$
Explicit formula
$$T_{196}(n, m, k) = {\binom{k + m - 1}{m}} {\binom{k - 2 m + n - 1}{n}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | -1 | -3 | -5 | -7 | -9 | -11 |
| 1 | 0 | 3 | 1 | 21 | 36 | 55 |
| 1 | 0 | -1 | -1 | -35 | -84 | -165 |
| 1 | 0 | 0 | 5 | 35 | 126 | 33 |
| 1 | 0 | 0 | -1 | -21 | -126 | -462 |
| 1 | 0 | 0 | 0 | 7 | 84 | 462 |
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