Generating function
$$U_{1460}(x, y) = \frac{\left(1 - y\right)^{3} \left(- \frac{2 x}{\left(1 - y\right)^{3}} - \sqrt{- \frac{4 x}{\left(1 - y\right)^{3}} + 1} + 1\right)}{2 x^{2}}$$
Explicit formula
$$T_{1460}(n, m, k) = \frac{k {\binom{2 k + 2 n}{n}} {\binom{3 k + m + 3 n - 1}{m}}}{k + n}$$
1 | 3 | 6 | 1 | 15 | 21 | 28 |
2 | 12 | 42 | 112 | 252 | 504 | 924 |
5 | 45 | 225 | 825 | 2475 | 6435 | 15015 |
14 | 168 | 1092 | 5096 | 1911 | 61152 | 173264 |
42 | 63 | 504 | 2856 | 12852 | 488376 | 162792 |
132 | 2376 | 22572 | 15048 | 79002 | 3476088 | 13325004 |
429 | 9009 | 99099 | 759759 | 4558554 | 2279277 | 9876867 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #1460?