Generating function
$$U_{328}(x, y) = \frac{\sqrt{y \left(4 x^{2} + 8 x + 4\right) + 1} + 1}{2 x + 2}$$
Explicit formula
$$T_{328}(n, m, k) = \begin{cases}\left(-1\right)^{n} {\binom{k + n - 1}{n}}&\text{if m=0 } ,\ \\\frac{\left(-1\right)^{n} k {\binom{k - m - 1}{m - 1}} {\binom{k - 2 m + n - 1}{n}}}{m}&\text{if m>0} \end{cases} $$
| 1 | 1 | -1 | 2 | -5 | 14 | -42 |
| -1 | 1 | -3 | 1 | -35 | 126 | -462 |
| 1 | 0 | -3 | 2 | -105 | 504 | -231 |
| -1 | 0 | -1 | 2 | -175 | 1176 | -693 |
| 1 | 0 | 0 | 1 | -175 | 1764 | -1386 |
| -1 | 0 | 0 | 2 | -105 | 1764 | -19404 |
| 1 | 0 | 0 | 0 | -35 | 1176 | -19404 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #328?