Generating function
$$U_{370}(x, y) = \frac{\sqrt{4 x y^{4} - 16 x y^{3} + 24 x y^{2} - 16 x y + 4 x + 1} + 1}{2 y^{2} - 4 y + 2}$$
Explicit formula
$$T_{370}(n, m, k) = \begin{cases}{\binom{2 k + m - 1}{m}}&\text{if n=0} ,\ \\\frac{k {\binom{k - n - 1}{n - 1}} {\binom{2 k + m - 4 n - 1}{m}}}{n} \end{cases} $$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
1 | -2 | 1 | 0 | 0 | 0 | 0 |
-1 | 6 | -15 | 2 | -15 | 6 | -1 |
2 | -2 | 9 | -24 | 42 | -504 | 42 |
-5 | 7 | -455 | 182 | -5005 | 1001 | -15015 |
14 | -252 | 2142 | -11424 | 4284 | -119952 | 259896 |
-42 | 924 | -9702 | 6468 | -30723 | 1106028 | -3133746 |
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #370?