Pyramid #282
Generating function
$$U_{282}(x, y) = \frac{1 - \sqrt{y \left(- 4 x^{2} - 4\right) + 1}}{2 y}$$
Explicit formula
$$T_{282}(n, m, k) = \frac{\left(\left(-1\right)^{n} + 1\right) {\binom{k}{m}} {\binom{k - m}{\frac{n}{2}}}}{2}$$
Data table
1 1 0 0 0 0 0
0 0 0 0 0 0 0
1 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Export
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