Generating function
$$U_{15}(x, y) = \frac{1}{\left(x + 1\right) \left(y + 1\right)}$$
Explicit formula
$$T_{15}(n, m, k) = \left(-1\right)^{m + n} {\binom{k + m - 1}{m}} {\binom{k + n - 1}{n}}$$
| 1 | -1 | 1 | -1 | 1 | -1 | 1 |
| -1 | 1 | -1 | 1 | -1 | 1 | -1 |
| 1 | -1 | 1 | -1 | 1 | -1 | 1 |
| -1 | 1 | -1 | 1 | -1 | 1 | -1 |
| 1 | -1 | 1 | -1 | 1 | -1 | 1 |
| -1 | 1 | -1 | 1 | -1 | 1 | -1 |
| 1 | -1 | 1 | -1 | 1 | -1 | 1 |
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