Generating function
$$U_{1433}(x, y) = \frac{\left(y + 1\right)^{2}}{- x \left(y + 1\right)^{3} + 1}$$
Explicit formula
$$T_{1433}(n, m, k) = {\binom{2 k + 3 n}{m}} {\binom{k + n - 1}{n}}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 1 | 5 | 1 | 1 | 5 | 1 | 0 |
| 1 | 8 | 28 | 56 | 7 | 56 | 28 |
| 1 | 11 | 55 | 165 | 33 | 462 | 462 |
| 1 | 14 | 91 | 364 | 1001 | 2002 | 3003 |
| 1 | 17 | 136 | 68 | 238 | 6188 | 12376 |
| 1 | 2 | 19 | 114 | 4845 | 15504 | 3876 |
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