Generating function
$$U_{1403}(x, y) = y \left(x + 1\right)^{3} + 1$$
Explicit formula
$$T_{1403}(n, m, k) = {\binom{k}{m}} {\binom{3 m}{n}}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
0 | 3 | 0 | 0 | 0 | 0 | 0 |
0 | 3 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
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