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

$$\omega$$ encode: 1 11 111 ...

$$\omega 2$$ encode: 1 11 111 ... 1 11 111 ...

$$\omega^2$$ encode: 1 1 11 111 ... 11 1 11 111 ... 111 1 11 111 ... ...

$$\omega^3$$ encode:

A = $$\omega$$ encode:

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

$$\omega^\omega$$ encode:

A_n = $$\omega^n$$ encode:

A_1 A_2 A_3 A_4 ...