Generating function
$$U_{960}(x, y) = \frac{1 - \sqrt{y \left(- 4 x^{3} - 4 x\right) + 1}}{2 x y}$$
Explicit formula
$$T_{960}(n, m, k) = \begin{cases}\frac{k {\binom{k + 2 m}{\frac{m}{2} + \frac{n}{2}}} {\binom{\frac{m}{2} + \frac{n}{2}}{m}}}{k + 2 m}&\text{if n + m even} ,\ \\0 \end{cases} $$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 2 | 0 | 0 | 0 | 0 |
0 | 2 | 0 | 5 | 0 | 0 | 0 |
0 | 0 | 6 | 0 | 14 | 0 | 0 |
0 | 1 | 0 | 20 | 0 | 42 | 0 |
0 | 0 | 6 | 0 | 70 | 0 | 132 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #960?