Generating function
$$U_{880}(x, y) = \frac{2 x + y^{3} + 3 y^{2} + 3 y + \left(y + 1\right) \sqrt{4 x + y^{4} + 4 y^{3} + 6 y^{2} + y \left(4 x + 4\right) + 1} + 1}{2 y + 2}$$
Explicit formula
$$T_{880}(n, m, k) = \begin{cases}{\binom{2 k}{m}}&\text{if n=0} ,\ \\\frac{2 \left(-1\right)^{n - 1} k {\binom{2 k - 3 n}{m}} {\binom{- 2 k + 2 n - 1}{n - 1}}}{n} \end{cases} $$
1 | 2 | 1 | 0 | 0 | 0 | 0 |
2 | -2 | 2 | -2 | 2 | -2 | 2 |
-1 | 4 | -1 | 2 | -35 | 56 | -84 |
2 | -14 | 56 | -168 | 42 | -924 | 1848 |
-5 | 5 | -275 | 11 | -3575 | 1001 | -25025 |
14 | -182 | 1274 | -637 | 2548 | -86632 | 259896 |
-42 | 672 | -5712 | 34272 | -162792 | 651168 | -2279088 |
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