Pyramid #25
Generating function
$$U_{25}(x, y) = \frac{- x y - x - \sqrt{x^{2} y^{2} + x^{2} - 2 x + y \left(- 2 x^{2} - 2 x\right) + 1} + 1}{2 x^{2} y}$$
Explicit formula
$$T_{25}(n, m, k) = \frac{k {\binom{k + n}{m}} {\binom{k + n}{- m + n}}}{k + n}$$
Data table
1 0 0 0 0 0 0
1 1 0 0 0 0 0
1 3 1 0 0 0 0
1 6 6 1 0 0 0
1 1 2 1 1 0 0
1 15 5 5 15 1 0
1 21 105 175 105 21 1
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