Generating function
$$U_{907}(x, y) = \frac{\sqrt{- 4 x y^{2} - 16 x y - 16 x + 1} + 1}{2 y + 4}$$
Explicit formula
$$T_{907}(n, m, k) = \begin{cases}1&\text{if n=0, m=0} ,\ \\-2&\text{if 2*n-k=0, m=0 } ,\ \\0&\text{if 2*n-k=0, m>0} ,\ \\- \frac{2^{- k - m + 2 n} k {\binom{- k + 2 n}{m}} {\binom{- k + 2 n}{n}}}{- k + 2 n} \end{cases} $$
1 | -0.25 | 0.125 | -0.0625 | 0.03125 | -0.015625 | 0.0078125 |
-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 |
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