Pyramid #361
Generating function
$$U_{361}(x, y) = \frac{- 2 y - \sqrt{- 4 x y^{2} - 4 y + 1} + 1}{2 y^{2}}$$
Explicit formula
$$T_{361}(n, m, k) = \frac{k {\binom{k + m}{n}} {\binom{2 k + 2 m - 2 n}{m}}}{k + m}$$
Data table
1 2 5 14 42 132 429
1 2 6 2 7 252 924
0 0 1 6 3 14 63
0 0 0 0 2 2 14
0 0 0 0 0 0 5
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Export
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