Generating function
$$U_{597}(x, y) = x \left(y^{2} + 1\right)^{3} + y^{2} + 1$$
Explicit formula
$$T_{597}(n, m, k) = \frac{\left(\left(-1\right)^{m} + 1\right) {\binom{k}{n}} {\binom{k + 2 n}{\frac{m}{2}}}}{2}$$
1 | 0 | 1 | 0 | 0 | 0 | 0 |
1 | 0 | 3 | 0 | 3 | 0 | 1 |
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 |
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