Generating function
$$U_{1128}(x, y) = \left(\frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}} + 1\right)^{3}$$
Explicit formula
$$T_{1128}(n, m, k) = \frac{2 n {\binom{3 k}{n}} {\binom{2 m + 4 n}{m}}}{m + 2 n}$$
nan | 0 | 0 | 0 | 0 | 0 | 0 |
3 | 12 | 42 | 144 | 495 | 1716 | 6006 |
3 | 24 | 132 | 624 | 273 | 11424 | 46512 |
1 | 12 | 9 | 544 | 2907 | 14364 | 67298 |
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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