Generating function
$$U_{1349}(x, y) = \frac{1}{- x \left(y + 1\right)^{4} + 1}$$
Explicit formula
$$T_{1349}(n, m, k) = {\binom{4 n}{m}} {\binom{k + n - 1}{n}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 4 | 6 | 4 | 1 | 0 | 0 |
| 1 | 8 | 28 | 56 | 7 | 56 | 28 |
| 1 | 12 | 66 | 22 | 495 | 792 | 924 |
| 1 | 16 | 12 | 56 | 182 | 4368 | 8008 |
| 1 | 2 | 19 | 114 | 4845 | 15504 | 3876 |
| 1 | 24 | 276 | 2024 | 10626 | 42504 | 134596 |
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