Generating function
$$U_{611}(x, y) = \frac{\sqrt{1 - 4 y} \left(- \sqrt{4 x + \frac{1}{\left(1 - 4 y\right)^{2}}} + \frac{1}{1 - 4 y}\right)}{2}$$
Explicit formula
$$T_{611}(n, m, k) = \begin{cases}0&\text{if n < k} ,\ \\- \frac{4^{m} k {\binom{k - n - 1}{n - 1}} {\binom{\frac{k}{2} + m - 2 n - 1}{m}}}{n} \end{cases} $$
0 | 0 | 0 | 0 | 0 | 0 | 0 |
-1 | 4 | 0 | 0 | 0 | 0 | 0 |
1 | -12 | 48 | -64 | 0 | 0 | 0 |
-2 | 4 | -32 | 128 | -256 | 2048 | 0 |
5 | -14 | 168 | -112 | 448 | -10752 | 14336 |
-14 | 504 | -8064 | 75264 | -451584 | 1806336 | -4816896 |
42 | -1848 | 3696 | -44352 | 354816 | -19869696 | 79478784 |
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