Generating function
$$U_{1353}(x, y) = \frac{1}{\left(1 - x\right) \left(1 - 4 y\right)^{\frac{3}{2}}}$$
Explicit formula
$$T_{1353}(n, m, k) = 4^{m} {\binom{k + n - 1}{n}} {\binom{\frac{3 k}{2} + m - 1}{m}}$$
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
1 | 4 | 16 | 64 | 256 | 1024 | 4096 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #1353?