Generating function
$$U_{1154}(x, y) = \frac{1}{\left(- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}} + 1\right)^{3}}$$
Explicit formula
$$T_{1154}(n, m, k) = \frac{3 n {\binom{2 m + 6 n}{m}} {\binom{3 k + n - 1}{n}}}{m + 3 n}$$
nan | 0 | 0 | 0 | 0 | 0 | 0 |
3 | 18 | 81 | 33 | 1287 | 4914 | 18564 |
6 | 72 | 54 | 3264 | 17442 | 86184 | 403788 |
1 | 18 | 189 | 1518 | 1035 | 6318 | 356265 |
15 | 36 | 486 | 4872 | 40455 | 294624 | 1947792 |
21 | 63 | 10395 | 12495 | 1223775 | 10363626 | 7868679 |
28 | 1008 | 19656 | 27552 | 3109932 | 30037392 | 257701752 |
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