Generating function
$$U_{391}(x, y) = \frac{\left(y + 1\right)^{2}}{2} - \frac{\sqrt{4 x \left(y + 1\right)^{2} + \left(y + 1\right)^{4}}}{2}$$
Explicit formula
$$T_{391}(n, m, k) = \begin{cases}0&\text{if n<k} ,\ \\- \frac{k {\binom{2 k - 2 n}{m}} {\binom{k - n - 1}{n - 1}}}{n} \end{cases} $$
0 | 0 | 0 | 0 | 0 | 0 | 0 |
-1 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | -2 | 3 | -4 | 5 | -6 | 7 |
-2 | 8 | -2 | 4 | -7 | 112 | -168 |
5 | -3 | 105 | -28 | 63 | -126 | 231 |
-14 | 112 | -504 | 168 | -462 | 11088 | -24024 |
42 | -42 | 231 | -924 | 3003 | -84084 | 21021 |
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