Generating function
$$U_{154}(x, y) = - \frac{1}{x y^{3} + 3 x y^{2} + 3 x y + x - 1}$$
Explicit formula
$$T_{154}(n, m, k) = \frac{k {\binom{3 n}{m}} {\binom{k + n}{n}}}{k + n}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 3 | 3 | 1 | 0 | 0 | 0 |
| 1 | 6 | 15 | 2 | 15 | 6 | 1 |
| 1 | 9 | 36 | 84 | 126 | 126 | 84 |
| 1 | 12 | 66 | 22 | 495 | 792 | 924 |
| 1 | 15 | 105 | 455 | 1365 | 3003 | 5005 |
| 1 | 18 | 153 | 816 | 306 | 8568 | 18564 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #154?