Pyramid #906
Generating function
$$U_{906}(x, y) = \frac{1 - \sqrt{- 4 x y^{2} - 16 x y - 16 x + 1}}{2 x y + 4 x}$$
Explicit formula
$$T_{906}(n, m, k) = \frac{2^{k - m + 2 n} k {\binom{k + 2 n}{m}} {\binom{k + 2 n}{n}}}{k + 2 n}$$
Data table
2 1 0 0 0 0 0
8 12 6 1 0 0 0
64 16 16 8 2 2 0
64 224 336 28 14 42 7
7168 32256 64512 75264 56448 28224 9408
86016 473088 118272 177408 177408 1241856 620928
1081344 7028736 21086208 38658048 4832256 43490304 28993536
Export
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