Table 1 The values of \(\alpha _k\) in Eq. (25) for \(2\le r\le 6\)

2

\(\frac{9}{8}\)

\(-\frac{1}{8}\)

3

\(\frac{75}{64}\)

\(-\frac{25}{128}\)

\(\frac{3}{128}\)

4

\(\frac{1225}{1024}\)

\(-\frac{245}{1024}\)

\(\frac{49}{1024}\)

\(-\frac{5}{1024}\)

5

\(\frac{19845}{16384}\)

\(-\frac{2205}{8192}\)

\(\frac{567}{8192}\)

\(-\frac{405}{32768}\)

\(\frac{35}{32768}\)

6

\(\frac{160083}{131072}\)

\(-\frac{38115}{131072}\)

\(\frac{22869}{262144}\)

\(-\frac{5445}{262144}\)

\(\frac{847}{262144}\)

\(-\frac{63}{262144}\)