Generating function
$$U_{458}(x, y) = - \frac{\left(y + 1\right)^{4}}{x - \left(y + 1\right)^{2}}$$
Explicit formula
$$T_{458}(n, m, k) = {\binom{2 k - 2 n}{m}} {\binom{k + n - 1}{n}}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | -2 | 3 | -4 | 5 | -6 | 7 |
| 1 | -4 | 1 | -2 | 35 | -56 | 84 |
| 1 | -6 | 21 | -56 | 126 | -252 | 462 |
| 1 | -8 | 36 | -12 | 33 | -792 | 1716 |
| 1 | -1 | 55 | -22 | 715 | -2002 | 5005 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #458?