Generating function
$$U_{163}(x, y) = \frac{\left(1 - x\right)^{3}}{- y + \left(1 - x\right)^{3}}$$
Explicit formula
$$T_{163}(n, m, k) = {\binom{k + m - 1}{m}} {\binom{3 m + n - 1}{n}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0 | 3 | 6 | 9 | 12 | 15 | 18 |
| 0 | 6 | 21 | 45 | 78 | 12 | 171 |
| 0 | 1 | 56 | 165 | 364 | 68 | 114 |
| 0 | 15 | 126 | 495 | 1365 | 306 | 5985 |
| 0 | 21 | 252 | 1287 | 4368 | 11628 | 26334 |
| 0 | 28 | 462 | 3003 | 12376 | 3876 | 100947 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #163?