Generating function
$$U_{355}(x, y) = - \frac{1}{\left(1 - y\right)^{6} \left(x - \frac{1}{\left(1 - y\right)^{3}}\right)}$$
Explicit formula
$$T_{355}(n, m, k) = {\binom{k + n - 1}{n}} {\binom{3 k + m - 3 n - 1}{m}}$$
| 1 | 3 | 6 | 1 | 15 | 21 | 28 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | -3 | 3 | -1 | 0 | 0 | 0 |
| 1 | -6 | 15 | -2 | 15 | -6 | 1 |
| 1 | -9 | 36 | -84 | 126 | -126 | 84 |
| 1 | -12 | 66 | -22 | 495 | -792 | 924 |
| 1 | -15 | 105 | -455 | 1365 | -3003 | 5005 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #355?