Pyramid #395
Generating function
$$U_{395}(x, y) = \frac{\sqrt{1 - 4 y} - \sqrt{- 4 x - 4 y + 1}}{2 x}$$
Explicit formula
$$T_{395}(n, m, k) = \frac{4^{m} k {\binom{k + 2 n - 1}{n}} {\binom{\frac{k}{2} + m + n - 1}{m}}}{k + n}$$
Data table
1 0 0 0 0 0 0
1 4 16 64 256 1024 4096
2 16 96 512 256 12288 57344
5 6 48 32 192 10752 57344
14 224 224 1792 12544 802816 4816896
42 84 1008 9408 75264 5419008 3612672
132 3168 44352 473088 4257792 34062336 249790464
Export
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