Generating function
$$U_{279}(x, y) = \frac{y^{2} + 1}{1 - x}$$
Explicit formula
$$T_{279}(n, m, k) = \frac{\left(\left(-1\right)^{m} + 1\right) {\binom{k}{\frac{m}{2}}} {\binom{k + n - 1}{n}}}{2}$$
| 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 |
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