Generating function
$$U_{905}(x, y) = \frac{- y - 2}{x y + 2 x - 1}$$
Explicit formula
$$T_{905}(n, m, k) = \frac{2^{k - m + n} k {\binom{k + n}{m}} {\binom{k + n}{n}}}{k + n}$$
| 2 | 1 | 0 | 0 | 0 | 0 | 0 |
| 4 | 4 | 1 | 0 | 0 | 0 | 0 |
| 8 | 12 | 6 | 1 | 0 | 0 | 0 |
| 16 | 32 | 24 | 8 | 1 | 0 | 0 |
| 32 | 8 | 8 | 4 | 1 | 1 | 0 |
| 64 | 192 | 24 | 16 | 6 | 12 | 1 |
| 128 | 448 | 672 | 56 | 28 | 84 | 14 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #905?