Table 5 Examples for ${\mathit{P}}_{\mathbf{3}\mathbf{,}\mathit{x}}$ and ${\mathit{P}}_{\mathbf{3}\mathbf{,}\mathit{x}}^{\mathbf{\ast }}$

$P_{3,x}$

1

4

20

35

56

84

120

165

220

286

364

455

$P_{3,x}^{\ast }$

1

4

20

35

52

84

120

160

220

281

360

455