Pyramid #142
Generating function
$$U_{142}(x, y) = - x + \frac{1}{y + 1}$$
Explicit formula
$$T_{142}(n, m, k) = \left(-1\right)^{m + n} {\binom{k}{n}} {\binom{k + m - n - 1}{m}}$$
Data table
1 -1 1 -1 1 -1 1
-1 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Export
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