Generating function
$$U_{517}(x, y) = \frac{\left(y + 1\right)^{4} - \sqrt{- 4 x \left(y + 1\right)^{6} + \left(y + 1\right)^{8}}}{2 x}$$
Explicit formula
$$T_{517}(n, m, k) = \frac{k {\binom{2 k - 2 n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | -4 | 6 | -8 | 1 | -12 | 14 |
| 5 | -2 | 5 | -1 | 175 | -28 | 42 |
| 14 | -84 | 294 | -784 | 1764 | -3528 | 6468 |
| 42 | -336 | 1512 | -504 | 1386 | -33264 | 72072 |
| 132 | -132 | 726 | -2904 | 9438 | -264264 | 66066 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #517?