Generating function
$$U_{120}(x, y) = 2 x + y + \sqrt{4 x^{2} + 4 x y + 1}$$
Explicit formula
$$T_{120}(n, m, k) = \frac{4^{n} k {\binom{k + n}{m}} {\binom{\frac{k}{2} - \frac{m}{2} + \frac{n}{2}}{n}}}{k + n}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
2 | 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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