Generating function
$$U_{982}(x, y) = \frac{\sqrt{4 x \left(y + 1\right) + 1} + 1}{2 y + 2}$$
Explicit formula
$$T_{982}(n, m, k) = \begin{cases}{\binom{- k + n}{m}}&\text{if n==0} ,\ \\\frac{\left(-1\right)^{n - 1} k {\binom{- k + n}{m}} {\binom{- k + 2 n - 1}{n - 1}}}{n}&\text{if n>0} \end{cases} $$
| 1 | -1 | 1 | -1 | 1 | -1 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| -1 | -1 | 0 | 0 | 0 | 0 | 0 |
| 2 | 4 | 2 | 0 | 0 | 0 | 0 |
| -5 | -15 | -15 | -5 | 0 | 0 | 0 |
| 14 | 56 | 84 | 56 | 14 | 0 | 0 |
| -42 | -21 | -42 | -42 | -21 | -42 | 0 |
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