Generating function
$$U_{375}(x, y) = - \frac{1}{\left(1 - 4 y\right) \left(x - \frac{1}{\sqrt{1 - 4 y}}\right)}$$
Explicit formula
$$T_{375}(n, m, k) = 4^{m} {\binom{k + n - 1}{n}} {\binom{\frac{k}{2} + m - \frac{n}{2} - 1}{m}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | -4 | 0 | 0 | 0 | 0 | 0 |
| 1 | -4 | 0 | 0 | 0 | 0 | 0 |
| 1 | -8 | 16 | 0 | 0 | 0 | 0 |
| 1 | -8 | 16 | 0 | 0 | 0 | 0 |
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