Generating function
$$U_{608}(x, y) = - \frac{1}{\left(1 - 4 y\right)^{\frac{3}{2}} \left(x - \frac{1}{1 - 4 y}\right)}$$
Explicit formula
$$T_{608}(n, m, k) = 4^{m} {\binom{k + n - 1}{n}} {\binom{\frac{k}{2} + m - n - 1}{m}}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | -4 | 0 | 0 | 0 | 0 | 0 |
1 | -8 | 16 | 0 | 0 | 0 | 0 |
1 | -12 | 48 | -64 | 0 | 0 | 0 |
1 | -16 | 96 | -256 | 256 | 0 | 0 |
1 | -2 | 16 | -64 | 128 | -1024 | 0 |
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