Pyramid #893
Generating function
$$U_{893}(x, y) = \frac{1}{\left(1 - y\right)^{2} \left(- x \left(1 - y\right) + 1\right)^{2}}$$
Explicit formula
$$T_{893}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{2 k + m - n - 1}{m}}$$
Data table
1 2 3 4 5 6 7
2 2 2 2 2 2 2
3 0 0 0 0 0 0
4 -4 0 0 0 0 0
5 -1 5 0 0 0 0
6 -18 18 -6 0 0 0
7 -28 42 -28 7 0 0
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