Pyramid #908
Generating function
$$U_{908}(x, y) = \frac{- 2 x - y - \sqrt{4 x^{2} - 4 x + y^{2} + y \left(- 4 x - 2\right) + 1} + 1}{4 x y}$$
Explicit formula
$$T_{908}(n, m, k) = \frac{2^{n} k {\binom{k + m + n}{m}} {\binom{k + m + n}{n}}}{k + m + n}$$
Data table
1 1 1 1 1 1 1
2 6 12 2 3 42 56
4 24 8 2 42 784 1344
8 8 4 14 392 9408 2016
16 24 168 784 28224 84672 22176
32 672 6272 37632 169344 620928 1951488
64 1792 21504 16128 88704 3902976 14496768
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