Generating function
$$U_{898}(x, y) = \frac{2 - 2 \cos{\left(\frac{2 \arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2 \operatorname{abs}{\left(y - 1 \right)}} \right)}}{3} \right)}}{3 x}$$
Explicit formula
$$T_{898}(n, m, k) = \frac{k {\binom{2 k + 3 n - 1}{n}} {\binom{2 k + m + 2 n - 1}{m}}}{k + n}$$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
2 | 8 | 2 | 4 | 7 | 112 | 168 |
7 | 42 | 147 | 392 | 882 | 1764 | 3234 |
3 | 24 | 108 | 36 | 99 | 2376 | 5148 |
143 | 143 | 7865 | 3146 | 102245 | 286286 | 715715 |
728 | 8736 | 56784 | 264992 | 99372 | 3179904 | 9009728 |
3876 | 54264 | 40698 | 217056 | 922488 | 33209568 | 105163632 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #898?