Generating function
$$U_{525}(x, y) = x \left(y + 1\right)^{2} + \left(y + 1\right)^{3}$$
Explicit formula
$$T_{525}(n, m, k) = {\binom{k}{n}} {\binom{3 k - n}{m}}$$
1 | 3 | 3 | 1 | 0 | 0 | 0 |
1 | 2 | 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 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
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