Pyramid #989
Generating function
$$U_{989}(x, y) = \frac{1 - \sqrt{- 4 x \left(y + 1\right) + 1}}{2 x \left(y + 1\right)^{2}}$$
Explicit formula
$$T_{989}(n, m, k) = \frac{k {\binom{- k + n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
Data table
1 -1 1 -1 1 -1 1
1 0 0 0 0 0 0
2 2 0 0 0 0 0
5 1 5 0 0 0 0
14 42 42 14 0 0 0
42 168 252 168 42 0 0
132 66 132 132 66 132 0
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