Pyramid #958
Generating function
$$U_{958}(x, y) = \frac{- x y - \sqrt{x^{2} y^{2} - 4 x^{2} - 2 x y + 1} + 1}{2 x^{2}}$$
Explicit formula
$$T_{958}(n, m, k) = \begin{cases}\frac{k {\binom{k + n}{\frac{m}{2} + \frac{n}{2}}} {\binom{\frac{m}{2} + \frac{n}{2}}{m}}}{k + n}&\text{if n + m even} ,\ \\0 \end{cases} $$
Data table
1 0 0 0 0 0 0
0 1 0 0 0 0 0
1 0 1 0 0 0 0
0 3 0 1 0 0 0
2 0 6 0 1 0 0
0 10 0 10 0 1 0
5 0 30 0 15 0 1
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