Pyramid #608
Generating function
$$U_{608}(x, y) = - \frac{1}{\left(1 - 4 y\right)^{\frac{3}{2}} \left(x - \frac{1}{1 - 4 y}\right)}$$
Explicit formula
$$T_{608}(n, m, k) = 4^{m} {\binom{k + n - 1}{n}} {\binom{\frac{k}{2} + m - n - 1}{m}}$$
Data table
1 0 0 0 0 0 0
1 0 0 0 0 0 0
1 -4 0 0 0 0 0
1 -8 16 0 0 0 0
1 -12 48 -64 0 0 0
1 -16 96 -256 256 0 0
1 -2 16 -64 128 -1024 0
Export
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