Pyramid #29
Generating function
$$U_{29}(x, y) = \frac{1 - \sqrt{y \left(- 4 x^{2} - 4 x\right) + 1}}{2 x y}$$
Explicit formula
$$T_{29}(n, m, k) = \frac{k {\binom{k + m}{- m + n}} {\binom{k + 2 m - 1}{m}}}{k + m}$$
Data table
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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