Perturbation order N

$S\left(N\right)$

$P\left(N\right)$

1

1

1

2

1

1

3

2

2

4

5

6

5

14

24

6

42

120

7

132

720

8

429

5040

9

1430

40,320

10

4862

362,880

11

16,796

3,628,800

12

58,786

39,916,800