Generating function
$$U_{1160}(x, y) = \frac{\left(1 - \sqrt{- 4 x \left(y + 1\right)^{2} + 1}\right)^{2}}{4 x^{2} \left(y + 1\right)^{4}}$$
Explicit formula
$$T_{1160}(n, m, k) = \frac{2 k {\binom{2 n}{m}} {\binom{2 k + 2 n - 1}{n}}}{2 k + n}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 4 | 2 | 0 | 0 | 0 | 0 |
5 | 2 | 3 | 2 | 5 | 0 | 0 |
14 | 84 | 21 | 28 | 21 | 84 | 14 |
42 | 336 | 1176 | 2352 | 294 | 2352 | 1176 |
132 | 132 | 594 | 1584 | 2772 | 33264 | 2772 |
429 | 5148 | 28314 | 9438 | 212355 | 339768 | 396396 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #1160?