Pyramid #955
Generating function
$$U_{955}(x, y) = \frac{1}{\left(1 - \left(x + y\right)^{2}\right)^{2}}$$
Explicit formula
$$T_{955}(n, m, k) = \begin{cases}{\binom{m + n}{m}} {\binom{2 k + \frac{m}{2} + \frac{n}{2} - 1}{\frac{m}{2} + \frac{n}{2}}}&\text{if n + m even} ,\ \\0 \end{cases} $$
Data table
1 0 2 0 3 0 4
0 4 0 12 0 24 0
2 0 18 0 6 0 14
0 12 0 8 0 28 0
3 0 6 0 35 0 126
0 24 0 28 0 1512 0
4 0 14 0 126 0 6468
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