Table 7: The numbers of rules for varying values of 𝑛 .

𝑛 𝑛 = 1 𝑛 = 2 𝑛 = 3 𝑛 = 4 𝑛 = 5 𝑛 = 6

Type 1 𝑛 ! 1 2 6 24 120 720
Type 2 2 𝑛 2 4 8 16 32 64
Type 4 n/a 1 3 34 1688 370,752 347,638,784