Pyramid #662
Generating function
$$U_{662}(x, y) = - \frac{1}{\sqrt{1 - 4 y} \left(\frac{x}{1 - 4 y} - 1\right)}$$
Explicit formula
$$T_{662}(n, m, k) = 4^{m} {\binom{k + n - 1}{n}} {\binom{\frac{k}{2} + m + n - 1}{m}}$$
Data table
1 0 0 0 0 0 0
1 4 16 64 256 1024 4096
1 8 48 256 128 6144 28672
1 12 96 64 384 21504 114688
1 16 16 128 896 57344 344064
1 2 24 224 1792 129024 86016
1 24 336 3584 32256 258048 1892352
Export
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