Generating function
$$U_{14}(x, y) = \frac{- x - y - \sqrt{x^{2} - 2 x + y^{2} + y \left(- 2 x - 2\right) + 1} + 1}{2 x y}$$
Explicit formula
$$T_{14}(n, m, k) = \frac{k {\binom{k + m + n}{m}} {\binom{k + m + n}{n}}}{k + m + n}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
1 | 6 | 2 | 5 | 105 | 196 | 336 |
1 | 1 | 5 | 175 | 49 | 1176 | 252 |
1 | 15 | 105 | 49 | 1764 | 5292 | 1386 |
1 | 21 | 196 | 1176 | 5292 | 19404 | 60984 |
1 | 28 | 336 | 252 | 1386 | 60984 | 226512 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #14?