Puzzle: My "Rocks, Paper, Scissors" strategy when I don't want to be figured out.

R = Rocks, P = Paper, S = Scissors

R P P P S R S R S R S S P P R R S R S P R S R.....  

Can you figure out my strategy?

Note: It's not based on words and I don't have amazing arithmetic skills though I am comfortable with numbers. Although I cannot continue for ever I know it's not repeating. If you solve the puzzle and also show the distribution of the outcomes is spread evenly (which I cannot do), I believe you solve a weaker case of a reasonably famous open number problem.

As I don't really make many puzzles this could be too vague and lacking info, or just poorly set up but I hope someone figures it out. Ask if something's not clear.