Generating function
$$U_{1148}(x, y) = \frac{1}{\left(- \frac{x}{\left(1 - y\right)^{3}} + 1\right)^{3}}$$
Explicit formula
$$T_{1148}(n, m, k) = {\binom{3 k + n - 1}{n}} {\binom{m + 3 n - 1}{m}}$$
Data table
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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