Generating function
$$U_{174}(x, y) = \left(x + 1\right) \left(y \left(x + 1\right)^{2} + 1\right)$$
Explicit formula
$$T_{174}(n, m, k) = {\binom{k}{m}} {\binom{k + 2 m}{n}}$$
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 3 | 0 | 0 | 0 | 0 | 0 |
| 0 | 3 | 0 | 0 | 0 | 0 | 0 |
| 0 | 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 |
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