Pyramid #885
Generating function
$$U_{885}(x, y) = \frac{y + 1}{\left(- x \left(y + 1\right) + 1\right)^{2}}$$
Explicit formula
$$T_{885}(n, m, k) = {\binom{k + n}{m}} {\binom{2 k + n - 1}{n}}$$
Data table
1 1 0 0 0 0 0
2 4 2 0 0 0 0
3 9 9 3 0 0 0
4 16 24 16 4 0 0
5 25 5 5 25 5 0
6 36 9 12 9 36 6
7 49 147 245 245 147 49
Export
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