Generating function
$$U_{300}(x, y) = \frac{- x - \sqrt{x^{2} - 2 x - 4 y^{2} + 1} + 1}{2 y^{2}}$$
Explicit formula
$$T_{300}(n, m, k) = \frac{k \left(\left(-1\right)^{m} + 1\right) {\binom{k + m}{\frac{m}{2}}} {\binom{k + m + n - 1}{n}}}{2 k + 2 m}$$
1 | 0 | 1 | 0 | 2 | 0 | 5 |
1 | 0 | 3 | 0 | 1 | 0 | 35 |
1 | 0 | 6 | 0 | 3 | 0 | 14 |
1 | 0 | 1 | 0 | 7 | 0 | 42 |
1 | 0 | 15 | 0 | 14 | 0 | 105 |
1 | 0 | 21 | 0 | 252 | 0 | 231 |
1 | 0 | 28 | 0 | 42 | 0 | 462 |
Related
Export
Export as LaTeX
Export as Maxima
Confirm deletion
Are you sure, you want to delete Pyramid #300?