Generating function
$$U_{6}(x, y) = \frac{x}{1 - y} + y$$
Explicit formula
$$T_{6}(n, m, k) = {\binom{k}{n}} {\binom{- k + m + 2 n - 1}{- k + m + n}}$$
0 | 1 | 0 | 0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 | 1 | 1 | 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 |
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