Generating function
$$U_{496}(x, y) = - \frac{1}{\left(1 - y\right) \left(\frac{x}{\left(1 - y\right)^{2}} - 1\right)}$$
Explicit formula
$$T_{496}(n, m, k) = \frac{k {\binom{k + n}{n}} {\binom{k + m + 2 n - 1}{m}}}{k + n}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
1 | 5 | 15 | 35 | 7 | 126 | 21 |
1 | 7 | 28 | 84 | 21 | 462 | 924 |
1 | 9 | 45 | 165 | 495 | 1287 | 3003 |
1 | 11 | 66 | 286 | 1001 | 3003 | 8008 |
1 | 13 | 91 | 455 | 182 | 6188 | 18564 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #496?