Generating function
$$U_{1130}(x, y) = \frac{1}{- \frac{x}{\left(1 - y\right)^{3}} + 1}$$
Explicit formula
$$T_{1130}(n, m, k) = {\binom{k + n - 1}{n}} {\binom{m + 3 n - 1}{m}}$$
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 3 | 6 | 1 | 15 | 21 | 28 |
| 1 | 6 | 21 | 56 | 126 | 252 | 462 |
| 1 | 9 | 45 | 165 | 495 | 1287 | 3003 |
| 1 | 12 | 78 | 364 | 1365 | 4368 | 12376 |
| 1 | 15 | 12 | 68 | 306 | 11628 | 3876 |
| 1 | 18 | 171 | 114 | 5985 | 26334 | 100947 |
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