Generating function
$$U_{311}(x, y) = - \frac{1}{x y^{2} + x + y \left(1 - 2 x\right) - 1}$$
Explicit formula
$$T_{311}(n, m, k) = {\binom{k + n - 1}{n}} {\binom{k + m - n - 1}{m}}$$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | -1 | 0 | 0 | 0 | 0 | 0 |
| 1 | -2 | 1 | 0 | 0 | 0 | 0 |
| 1 | -3 | 3 | -1 | 0 | 0 | 0 |
| 1 | -4 | 6 | -4 | 1 | 0 | 0 |
| 1 | -5 | 1 | -1 | 5 | -1 | 0 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #311?