Generating function
$$U_{147}(x, y) = \frac{1}{- x \left(y + 1\right)^{2} + 1}$$
Explicit formula
$$T_{147}(n, m, k) = {\binom{2 n}{m}} {\binom{k + n - 1}{n}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 1 | 4 | 6 | 4 | 1 | 0 | 0 |
| 1 | 6 | 15 | 2 | 15 | 6 | 1 |
| 1 | 8 | 28 | 56 | 7 | 56 | 28 |
| 1 | 1 | 45 | 12 | 21 | 252 | 21 |
| 1 | 12 | 66 | 22 | 495 | 792 | 924 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #147?