Pyramid #87
Generating function
$$U_{87}(x, y) = - \frac{1}{y - \sqrt{1 - 4 x}}$$
Explicit formula
$$T_{87}(n, m, k) = 4^{n} {\binom{k + m - 1}{m}} {\binom{\frac{k}{2} + \frac{m}{2} + n - 1}{n}}$$
Data table
1 1 1 1 1 1 1
0 4 4 8 8 12 12
0 16 16 48 48 96 96
0 64 64 256 256 64 64
0 256 256 128 128 384 384
0 1024 1024 6144 6144 21504 21504
0 4096 4096 28672 28672 114688 114688
Export
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