Generating function
$$U_{149}(x, y) = \frac{- 2 x y - \sqrt{- 4 x y^{2} - 4 x y + 1} + 1}{2 x y^{2}}$$
Explicit formula
$$T_{149}(n, m, k) = \frac{k {\binom{2 n}{m}} {\binom{k + m}{n}}}{k + m}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 2 | 1 | 0 | 0 | 0 | 0 |
0 | 2 | 6 | 6 | 2 | 0 | 0 |
0 | 0 | 5 | 2 | 3 | 2 | 5 |
0 | 0 | 0 | 14 | 7 | 14 | 14 |
0 | 0 | 0 | 0 | 42 | 252 | 63 |
0 | 0 | 0 | 0 | 0 | 132 | 924 |
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