Pyramid #702
Generating function
$$U_{702}(x, y) = \frac{1}{- \frac{x}{\sqrt{1 - 4 y}} + 1}$$
Explicit formula
$$T_{702}(n, m, k) = 4^{m} {\binom{k + n - 1}{n}} {\binom{m + \frac{n}{2} - 1}{m}}$$
Data table
1 0 0 0 0 0 0
1 0 0 0 0 0 0
1 4 16 64 256 1024 4096
1 4 16 64 256 1024 4096
1 8 48 256 128 6144 28672
1 8 48 256 128 6144 28672
1 12 96 64 384 21504 114688
Export
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