Generating function
$$U_{955}(x, y) = \frac{1}{\left(1 - \left(x + y\right)^{2}\right)^{2}}$$
Explicit formula
$$T_{955}(n, m, k) = \begin{cases}{\binom{m + n}{m}} {\binom{2 k + \frac{m}{2} + \frac{n}{2} - 1}{\frac{m}{2} + \frac{n}{2}}}&\text{if n + m even} ,\ \\0 \end{cases} $$
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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