Pyramid #798
Generating function
$$U_{798}(x, y) = \frac{1}{\left(- x \left(y + 1\right) + 1\right)^{2}}$$
Explicit formula
$$T_{798}(n, m, k) = {\binom{n}{m}} {\binom{2 k + n - 1}{n}}$$
Data table
1 0 0 0 0 0 0
2 2 0 0 0 0 0
3 6 3 0 0 0 0
4 12 12 4 0 0 0
5 2 3 2 5 0 0
6 3 6 6 3 6 0
7 42 105 14 105 42 7
Export
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