Generating function
$$U_{87}(x, y) = - \frac{1}{y - \sqrt{1 - 4 x}}$$
Explicit formula
$$T_{87}(n, m, k) = 4^{n} {\binom{k + m - 1}{m}} {\binom{\frac{k}{2} + \frac{m}{2} + n - 1}{n}}$$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
0 | 4 | 4 | 8 | 8 | 12 | 12 |
0 | 16 | 16 | 48 | 48 | 96 | 96 |
0 | 64 | 64 | 256 | 256 | 64 | 64 |
0 | 256 | 256 | 128 | 128 | 384 | 384 |
0 | 1024 | 1024 | 6144 | 6144 | 21504 | 21504 |
0 | 4096 | 4096 | 28672 | 28672 | 114688 | 114688 |
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