[AnotherGoodName]

Do we care similarly about the version of this that starts on 2?

2, 2, 1, 1, 2, 1, 2...

2, 2, 1, 1,

Again no randomness. Just a variant of the above and trivial to continue this.

[MontyCarloHall]

This is just the Kolakoski sequence starting from the second term.

[AnotherGoodName]

Ahh that makes sense. Thank you!