Pyramid #126
Generating function
$$U_{126}(x, y) = \frac{2 x y + \sqrt{y^{2} \left(4 x^{2} + 1\right) - 2 y + 1}}{\left(1 - y\right)^{2}}$$
Explicit formula
$$T_{126}(n, m, k) = \frac{4^{n} k {\binom{\frac{k}{2} + \frac{n}{2}}{n}} {\binom{k + m}{k + n}}}{k + m}$$
Data table
1 1 1 1 1 1 1
0 2 4 6 8 1 12
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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