Generating function
$$U_{278}(x, y) = \frac{x^{2} + 1}{1 - y}$$
Explicit formula
$$T_{278}(n, m, k) = \frac{\left(\left(-1\right)^{n} + 1\right) {\binom{k}{\frac{n}{2}}} {\binom{k + m - 1}{m}}}{2}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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