Generating function
$$U_{204}(x, y) = - x + \frac{y}{\left(1 - x\right)^{2}} + 1$$
Explicit formula
$$T_{204}(n, m, k) = {\binom{k}{m}} {\binom{- k + 3 m + n - 1}{n}}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
-1 | 2 | 0 | 0 | 0 | 0 | 0 |
0 | 3 | 0 | 0 | 0 | 0 | 0 |
0 | 4 | 0 | 0 | 0 | 0 | 0 |
0 | 5 | 0 | 0 | 0 | 0 | 0 |
0 | 6 | 0 | 0 | 0 | 0 | 0 |
0 | 7 | 0 | 0 | 0 | 0 | 0 |
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