Generating function
$$U_{302}(x, y) = \frac{2 \sqrt{3} \sin{\left(\frac{\arcsin{\left(\frac{3 \sqrt{3} \sqrt{x}}{2} \right)}}{3} \right)}}{3 \sqrt{x} \left(1 - y\right)^{2}}$$
Explicit formula
$$T_{302}(n, m, k) = \frac{k {\binom{k + 3 n - 1}{n}} {\binom{2 k + m - 1}{m}}}{k + 2 n}$$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
1 | 2 | 3 | 4 | 5 | 6 | 7 |
3 | 6 | 9 | 12 | 15 | 18 | 21 |
12 | 24 | 36 | 48 | 6 | 72 | 84 |
55 | 11 | 165 | 22 | 275 | 33 | 385 |
273 | 546 | 819 | 1092 | 1365 | 1638 | 1911 |
1428 | 2856 | 4284 | 5712 | 714 | 8568 | 9996 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #302?