Generating function
$$U_{742}(x, y) = \frac{y + 1}{\left(- x y - x + 1\right)^{3}}$$
Explicit formula
$$T_{742}(n, m, k) = \frac{3 k {\binom{k + n}{m}} {\binom{3 k + n}{n}}}{3 k + n}$$
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 3 | 6 | 3 | 0 | 0 | 0 | 0 |
| 6 | 18 | 18 | 6 | 0 | 0 | 0 |
| 1 | 4 | 6 | 4 | 1 | 0 | 0 |
| 15 | 75 | 15 | 15 | 75 | 15 | 0 |
| 21 | 126 | 315 | 42 | 315 | 126 | 21 |
| 28 | 196 | 588 | 98 | 98 | 588 | 196 |
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