Generating function
$$U_{244}(x, y) = \frac{1}{- x^{2} - y^{2} + 1}$$
Explicit formula
$$T_{244}(n, m, k) = \frac{\left(\left(-1\right)^{m} + 1\right) \left(\left(-1\right)^{n} + 1\right) {\binom{\frac{m}{2} + \frac{n}{2}}{\frac{n}{2}}} {\binom{k + \frac{m}{2} + \frac{n}{2} - 1}{\frac{m}{2} + \frac{n}{2}}}}{4}$$
1 | 0 | 1 | 0 | 1 | 0 | 1 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 2 | 0 | 3 | 0 | 4 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 3 | 0 | 6 | 0 | 1 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 4 | 0 | 1 | 0 | 2 |
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