Pyramid #246
Generating function
$$U_{246}(x, y) = \frac{- \sqrt{- 4 x^{2} y^{2} + 4 x^{2} + 1} - 1}{2 y^{2} - 2}$$
Explicit formula
$$T_{246}(n, m, k) = \frac{\left(-1\right)^{\frac{m}{2} + \frac{n}{2} + 1} k \left(\left(-1\right)^{m} + 1\right) \left(\left(-1\right)^{n} + 1\right) {\binom{\frac{m}{2} + \frac{n}{2}}{\frac{n}{2}}} {\binom{- k + n - 1}{\frac{m}{2} + \frac{n}{2} - 1}}}{2 m + 2 n}$$
Data table
nan 0 1 0 1 0 1
0 0 0 0 0 0 0
1 0 0 0 0 0 0
0 0 0 0 0 0 0
-1 0 1 0 0 0 0
0 0 0 0 0 0 0
2 0 -4 0 2 0 0
Export
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