Pyramid #129
Generating function
$$U_{129}(x, y) = \frac{1}{\sqrt{x^{2} y^{2} - 2 x^{2} y + x^{2} - 2 x y - 2 x + 1}}$$
Explicit formula
$$T_{129}(n, m, k) = \frac{{\binom{\frac{k}{2} + n - \frac{1}{2}}{m}} {\binom{\frac{k}{2} + n - \frac{1}{2}}{\frac{k}{2} + m - \frac{1}{2}}} {\binom{k + n - 1}{\frac{k}{2} - \frac{1}{2}}}}{{\binom{k - 1}{\frac{k}{2} - \frac{1}{2}}}}$$
Data table
1 0 0 0 0 0 0
1 1 0 0 0 0 0
1 4 1 0 0 0 0
1 9 9 1 0 0 0
1 16 36 16 1 0 0
1 25 1 1 25 1 0
1 36 225 4 225 36 1
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