Pyramid #313
Generating function
$$U_{313}(x, y) = \frac{1}{\left(1 - x\right)^{2} \left(1 - y\right)^{2}}$$
Explicit formula
$$T_{313}(n, m, k) = {\binom{2 k + m - 1}{m}} {\binom{2 k + n - 1}{n}}$$
Data table
1 2 3 4 5 6 7
2 4 6 8 1 12 14
3 6 9 12 15 18 21
4 8 12 16 2 24 28
5 1 15 2 25 3 35
6 12 18 24 3 36 42
7 14 21 28 35 42 49
Export
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