Generating function
$$U_{980}(x, y) = \frac{1 - \frac{4 \sin^{2}{\left(\frac{\operatorname{asin}{\left(\frac{3 \sqrt{3} \sqrt{- x \left(y + 1\right)}}{2} \right)}}{3} \right)}}{3}}{\left(y + 1\right)^{2}}$$
Explicit formula
$$T_{980}(n, m, k) = \begin{cases}{\binom{- 2 k + n}{m}}&\text{if n=0} ,\ \\\frac{\left(-1\right)^{n - 1} k {\binom{- 2 k + n}{m}} {\binom{- k + 3 n - 1}{n - 1}}}{n} \end{cases} $$
1 | -2 | 3 | -4 | 5 | -6 | 7 |
1 | -1 | 1 | -1 | 1 | -1 | 1 |
-2 | 0 | 0 | 0 | 0 | 0 | 0 |
7 | 7 | 0 | 0 | 0 | 0 | 0 |
-3 | -6 | -3 | 0 | 0 | 0 | 0 |
143 | 429 | 429 | 143 | 0 | 0 | 0 |
-728 | -2912 | -4368 | -2912 | -728 | 0 | 0 |
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