Table 4 Numerical results of \(\pmb{a_{i}=L_{i}}\) , \(\pmb{r=2}\)
n | Theorem 2.12 | Theorem 1.6 | \(\frac{\mathbf{Third\ column}}{\mathbf{Second\ column}}\) |
|---|---|---|---|
1 | 2 | 2 | \(\frac{2}{2}=1\) |
2 | 5 | 4 | \(\frac{4}{5}=\frac{4}{5}\) |
3 | \(3\sqrt{14}\) | \(2\sqrt{231}\) | \(\frac{2\sqrt{231}}{3\sqrt {14}}\approx2.708\) |
4 | \(\sqrt{390}\) | 54 | \(\frac{54}{\sqrt{390}}\approx2.734\) |
5 | \(\sqrt{1{,}343}\) | 152 | \(\frac{152}{\sqrt{1{,}343}}\approx4.418\) |
6 | \(10\sqrt{42}\) | 394 | \(\frac{394}{10\sqrt{342}}\approx6.080\) |