Generating function
$$U_{271}(x, y) = \left(x + y + 1\right)^{2}$$
Explicit formula
$$T_{271}(n, m, k) = {\binom{2 k}{m + n}} {\binom{m + n}{n}}$$
1 | 2 | 1 | 0 | 0 | 0 | 0 |
2 | 2 | 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 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
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