Generating function
$$U_{30}(x, y) = \frac{- x - \sqrt{x^{2} - 4 x y - 2 x + 1} + 1}{2 x y}$$
Explicit formula
$$T_{30}(n, m, k) = \frac{k {\binom{k + n}{- m + n}} {\binom{k + m + n - 1}{m}}}{k + n}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 3 | 2 | 0 | 0 | 0 | 0 |
| 1 | 6 | 1 | 5 | 0 | 0 | 0 |
| 1 | 1 | 3 | 35 | 14 | 0 | 0 |
| 1 | 15 | 7 | 14 | 126 | 42 | 0 |
| 1 | 21 | 14 | 42 | 63 | 462 | 132 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #30?