Pyramid #948
Generating function
$$U_{948}(x, y) = \frac{- y \left(2 x^{2} + 2 x\right) - \sqrt{y \left(- 4 x^{2} - 4 x\right) + 1} + 1}{y^{2} \left(2 x + 2\right)}$$
Explicit formula
$$T_{948}(n, m, k) = \frac{k {\binom{k + m}{- 2 k - m + n}} {\binom{2 k + 2 m}{m}}}{k + m}$$
Data table
0 0 0 0 0 0 0
0 0 0 0 0 0 0
1 0 0 0 0 0 0
1 2 0 0 0 0 0
0 4 5 0 0 0 0
0 2 15 14 0 0 0
0 0 15 56 42 0 0
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