Generating function
$$U_{464}(x, y) = \frac{\left(1 - y\right) \left(- \sqrt{\frac{4 x}{1 - y} + \frac{1}{\left(1 - y\right)^{4}}} + \frac{1}{\left(1 - y\right)^{2}}\right)}{2}$$
Explicit formula
$$T_{464}(n, m, k) = \begin{cases}0&\text{if n<k} ,\ \\- \frac{k {\binom{k - n - 1}{n - 1}} {\binom{k + m - 3 n - 1}{m}}}{n} \end{cases} $$
0 | 0 | 0 | 0 | 0 | 0 | 0 |
-1 | 2 | -1 | 0 | 0 | 0 | 0 |
1 | -5 | 1 | -1 | 5 | -1 | 0 |
-2 | 16 | -56 | 112 | -14 | 112 | -56 |
5 | -55 | 275 | -825 | 165 | -231 | 231 |
-14 | 196 | -1274 | 5096 | -14014 | 28028 | -42042 |
42 | -714 | 5712 | -2856 | 9996 | -259896 | 519792 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #464?