Generating function
$$U_{1153}(x, y) = \frac{1}{\left(- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}} + 1\right)^{3}}$$
Explicit formula
$$T_{1153}(n, m, k) = \frac{2 n {\binom{2 m + 4 n}{m}} {\binom{3 k + n - 1}{n}}}{m + 2 n}$$
| nan | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | 12 | 42 | 144 | 495 | 1716 | 6006 |
| 6 | 48 | 264 | 1248 | 546 | 22848 | 93024 |
| 1 | 12 | 9 | 544 | 2907 | 14364 | 67298 |
| 15 | 24 | 228 | 168 | 10626 | 6072 | 32292 |
| 21 | 42 | 483 | 42 | 307125 | 1995084 | 1189377 |
| 28 | 672 | 9072 | 90944 | 75516 | 5499648 | 36358784 |
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