Generating function
$$U_{785}(x, y) = \frac{8 \sqrt{3} \left(y + 1\right) \sin^{3}{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{9 x^{\frac{3}{2}}}$$
Explicit formula
$$T_{785}(n, m, k) = \frac{3 k {\binom{k}{m}} {\binom{3 k + 3 n - 1}{n}}}{3 k + 2 n}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
3 | 3 | 0 | 0 | 0 | 0 | 0 |
12 | 12 | 0 | 0 | 0 | 0 | 0 |
55 | 55 | 0 | 0 | 0 | 0 | 0 |
273 | 273 | 0 | 0 | 0 | 0 | 0 |
1428 | 1428 | 0 | 0 | 0 | 0 | 0 |
7752 | 7752 | 0 | 0 | 0 | 0 | 0 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #785?