Generating function
$$U_{1150}(x, y) = \frac{1}{\left(- \frac{x \left(1 - \sqrt{1 - 4 y}\right)^{2}}{4 y^{2}} + 1\right)^{3}}$$
Explicit formula
$$T_{1150}(n, m, k) = \frac{2 n {\binom{3 k + n - 1}{n}} {\binom{2 m + 2 n - 1}{m}}}{m + 2 n}$$
| nan | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | 6 | 15 | 42 | 126 | 396 | 1287 |
| 6 | 24 | 84 | 288 | 99 | 3432 | 12012 |
| 1 | 6 | 27 | 11 | 429 | 1638 | 6188 |
| 15 | 12 | 66 | 312 | 1365 | 5712 | 23256 |
| 21 | 21 | 1365 | 735 | 357 | 162792 | 712215 |
| 28 | 336 | 252 | 15232 | 81396 | 402192 | 1884344 |
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