Generating function
$$U_{394}(x, y) = \frac{1}{- x + \sqrt{1 - 4 y}}$$
Explicit formula
$$T_{394}(n, m, k) = 4^{m} {\binom{k + n - 1}{n}} {\binom{\frac{k}{2} + m + \frac{n}{2} - 1}{m}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
| 1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
| 1 | 8 | 48 | 256 | 128 | 6144 | 28672 |
| 1 | 8 | 48 | 256 | 128 | 6144 | 28672 |
| 1 | 12 | 96 | 64 | 384 | 21504 | 114688 |
| 1 | 12 | 96 | 64 | 384 | 21504 | 114688 |
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