Pyramid #203
Generating function
$$U_{203}(x, y) = \frac{2 x - \sqrt{y \left(- 4 x^{2} - 4 x\right) + 1} + 1}{2 x^{2} + 2 x}$$
Explicit formula
$$T_{203}(n, m, k) = \frac{k {\binom{k + n}{m}} {\binom{- k + 2 m - 1}{n}}}{k + n}$$
Data table
1 1 0 0 0 0 0
-1 0 1 0 0 0 0
1 0 1 2 0 0 0
-1 0 0 4 5 0 0
1 0 0 2 15 14 0
-1 0 0 0 15 56 42
1 0 0 0 5 84 21
Export
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