Generating function
$$U_{117}(x, y) = y + \sqrt{4 x + 1}$$
Explicit formula
$$T_{117}(n, m, k) = 4^{n} {\binom{k}{m}} {\binom{\frac{k}{2} - \frac{m}{2}}{n}}$$
1 | 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 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
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