Generating function
$$U_{143}(x, y) = \frac{\sqrt{4 x + 1} + 1}{2 - 2 y}$$
Explicit formula
$$T_{143}(n, m, k) = \begin{cases}{\binom{k + m - 1}{m}}&\text{if n=0} ,\ \\\frac{\left(-1\right)^{n - 1} k {\binom{- k + 2 n - 1}{n - 1}} {\binom{k + m - 1}{m}}}{n} \end{cases} $$
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| -1 | -1 | -1 | -1 | -1 | -1 | -1 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| -5 | -5 | -5 | -5 | -5 | -5 | -5 |
| 14 | 14 | 14 | 14 | 14 | 14 | 14 |
| -42 | -42 | -42 | -42 | -42 | -42 | -42 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #143?