Generating function
$$U_{29}(x, y) = \frac{1 - \sqrt{y \left(- 4 x^{2} - 4 x\right) + 1}}{2 x y}$$
Explicit formula
$$T_{29}(n, m, k) = \frac{k {\binom{k + m}{- m + n}} {\binom{k + 2 m - 1}{m}}}{k + m}$$
1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 1 | 0 | 0 | 0 | 0 | 0 |
0 | 2 | 2 | 0 | 0 | 0 | 0 |
0 | 1 | 6 | 5 | 0 | 0 | 0 |
0 | 0 | 6 | 2 | 14 | 0 | 0 |
0 | 0 | 2 | 3 | 7 | 42 | 0 |
0 | 0 | 0 | 2 | 14 | 252 | 132 |
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