Generating function
$$U_{160}(x, y) = \frac{x^{2} - 2 x + \left(x - 1\right) \sqrt{x^{2} - 2 x - 4 y + 1} + 1}{2 y}$$
Explicit formula
$$T_{160}(n, m, k) = \frac{k {\binom{k + 2 m - 1}{m}} {\binom{2 m + n - 1}{n}}}{k + m}$$
1 | 1 | 2 | 5 | 14 | 42 | 132 |
0 | 2 | 8 | 3 | 112 | 42 | 1584 |
0 | 3 | 2 | 105 | 504 | 231 | 10296 |
0 | 4 | 4 | 28 | 168 | 924 | 48048 |
0 | 5 | 7 | 63 | 462 | 3003 | 18018 |
0 | 6 | 112 | 126 | 11088 | 84084 | 576576 |
0 | 7 | 168 | 231 | 24024 | 21021 | 1633632 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #160?