Generating function
$$U_{888}(x, y) = \frac{\left(1 - \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x} \operatorname{abs}{\left(y + 1 \right)}}{2} \right)}}{3} \right)}\right) \left(2 y + 2\right)}{3 x}$$
Explicit formula
$$T_{888}(n, m, k) = \frac{k {\binom{3 k + 2 n}{m}} {\binom{2 k + 3 n - 1}{n}}}{k + n}$$
1 | 3 | 3 | 1 | 0 | 0 | 0 |
2 | 1 | 2 | 2 | 1 | 2 | 0 |
7 | 49 | 147 | 245 | 245 | 147 | 49 |
3 | 27 | 108 | 252 | 378 | 378 | 252 |
143 | 1573 | 7865 | 23595 | 4719 | 66066 | 66066 |
728 | 9464 | 56784 | 208208 | 52052 | 936936 | 1249248 |
3876 | 5814 | 40698 | 176358 | 529074 | 11639628 | 1939938 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #888?