Generating function
$$U_{528}(x, y) = - \frac{\sqrt{4 x \left(1 - y\right)^{2} + \frac{1}{\left(1 - y\right)^{2}}}}{2} + \frac{1}{2 - 2 y}$$
Explicit formula
$$T_{528}(n, m, k) = \begin{cases}0&\text{if n<k } ,\ \\- \frac{k {\binom{k - n - 1}{n - 1}} {\binom{k + m - 4 n - 1}{m}}}{n} \end{cases} $$
0 | 0 | 0 | 0 | 0 | 0 | 0 |
-1 | 3 | -3 | 1 | 0 | 0 | 0 |
1 | -7 | 21 | -35 | 35 | -21 | 7 |
-2 | 22 | -11 | 33 | -66 | 924 | -924 |
5 | -75 | 525 | -2275 | 6825 | -15015 | 25025 |
-14 | 266 | -2394 | 13566 | -54264 | 162792 | -379848 |
42 | -966 | 10626 | -74382 | 37191 | -1413258 | 4239774 |
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