Generating function
$$U_{1030}(x, y) = \frac{1}{\left(1 - x\right) \left(1 - y\right)^{3}}$$
Explicit formula
$$T_{1030}(n, m, k) = {\binom{k + n - 1}{n}} {\binom{3 k + m - 1}{m}}$$
1 | 3 | 6 | 1 | 15 | 21 | 28 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
1 | 3 | 6 | 1 | 15 | 21 | 28 |
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