Generating function
$$U_{85}(x, y) = \frac{1 - \sqrt{y \left(- 4 x - 2\right) - 2 y \sqrt{4 x + 1} + 1}}{y \left(\sqrt{4 x + 1} + 1\right)}$$
Explicit formula
$$T_{85}(n, m, k) = \begin{cases}1&\text{if n=0} ,\ \\\frac{\left(-1\right)^{n - 1} k \left(k + 2 m\right) {\binom{k + 2 m - 1}{m}} {\binom{- k - 2 m + 2 n - 1}{n - 1}}}{n \left(k + m\right)} \end{cases} $$
1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 3 | 1 | 35 | 126 | 462 | 1716 |
-1 | 0 | 1 | 7 | 378 | 1848 | 858 |
2 | 1 | 0 | 35 | 42 | 3234 | 20592 |
-5 | -3 | 0 | 0 | 126 | 231 | 24024 |
14 | 9 | 2 | 0 | 0 | 462 | 12012 |
-42 | -28 | -1 | 0 | 0 | 0 | 1716 |
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