Pyramid #597
Generating function
$$U_{597}(x, y) = x \left(y^{2} + 1\right)^{3} + y^{2} + 1$$
Explicit formula
$$T_{597}(n, m, k) = \frac{\left(\left(-1\right)^{m} + 1\right) {\binom{k}{n}} {\binom{k + 2 n}{\frac{m}{2}}}}{2}$$
Data table
1 0 1 0 0 0 0
1 0 3 0 3 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 0
Export
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