I’d like to ask the good people of this community that, if you do know the solution or figure it out, that you not share the answer here. Feel free to announce your success, but there’s something to be said for discovering the answer completely unaided, even if it takes years.
It’s embarrassingly obvious once you see it though.
If the pattern fits for all cases, you’ve found the pattern (or one of multiple if there’s more than one solution). I figured it out and I’m certain of it.