Pyramid #149
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
$$T_{149}(n, m, k) = \frac{k {\binom{2 n}{m}} {\binom{k + m}{n}}}{k + m}$$
Data table
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
Export
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