Generating function
$$U_{1148}(x, y) = \frac{1}{\left(- \frac{x}{\left(1 - y\right)^{3}} + 1\right)^{3}}$$
Explicit formula
$$T_{1148}(n, m, k) = {\binom{3 k + n - 1}{n}} {\binom{m + 3 n - 1}{m}}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
3 | 9 | 18 | 3 | 45 | 63 | 84 |
6 | 36 | 126 | 336 | 756 | 1512 | 2772 |
1 | 9 | 45 | 165 | 495 | 1287 | 3003 |
15 | 18 | 117 | 546 | 20475 | 6552 | 18564 |
21 | 315 | 252 | 1428 | 6426 | 244188 | 81396 |
28 | 504 | 4788 | 3192 | 16758 | 737352 | 2826516 |
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