User blog comment:LittlePeng9/ITTM galore/@comment-5029411-20140325212157/@comment-5029411-20140325232612

1 encode:

1

2 encode:

11

$$\omega + 1$$ encode:

1 11 111 ... 1

$$\omega 3$$ encode:

1 11 111 ... 1 11 111 ... 1 11 111 ...

$$\omega^{\omega + 1}$$ encode:

1 A_1 A_2 A_3 ... 11 A_1 A_2 A_3 ... 111 A_1 A_2 A_3 ... ...

$$\omega^{\omega 2}$$ encode:

B_{n+1} is $$\omega^{\omega + n}$$ encode.

B_1 B_2 B_3 B_4 ...

$$\omega^{\omega^2}$$ encode:

A_1 A_2 A_3 ... B_1 B_2 B_3 ... C_1 C_2 C_3 ... ...