[MaxWilson]

Depends upon how long you're going to hold it. In the early game, you may conquer a province and then discover that it's between two other nations and not geographically defensive from your home province. You stop expanding in that direction and explore elsewhere, but you figure you'll lose that province eventually. It's useful to know that 200% taxation will never get you more than 1.7 turns ahead but won't fall behind for 9 turns. I'll crank the numbers later but it's possible that if you think it will hold for 6-10 turns that a lower tax rate will net more income over that time span.

Still, I guess I'm curious more mathematically than for gameplay-related reasons. I wonder if the income progression is somehow isomorphic with the harmonic numbers. Probably not quite.

-Max