I know the full-size game of Go is played on a 19x19 board and comes with 181 black stones and 180 white stones. This is to accommodate filling every spot on the board with a stone. I want to know if there are suggestions for (much) smaller boards.
While for other typical board sizes (9x9 and 13x13), I'm guessing we could adopt a similar rule for the number of stones to include (41/41 and 85/84, respectively), but what about very small boards?
I made this 3x3 novelty board for a friend, and I'm not sure how many stones to include with it. Because of the size, I am certain many games could involve a lot of capturing, and I wouldn't want him to run out of stones. He doesn't own a full-size game, so he has no pieces to use with this little board (we have been playing on my full-size board).
For folks who have played on small boards, how many pieces do you think I should include?
Extended Question: Do you have suggestions for other small sizes -- say, the 5x5 "capture go", or some irregular sizes?
Edit: I'm not looking for a theoretical upper/lower bound on the number of stones, but rather a "from a practical standpoint, how many might I include to prevent players from having to borrow captured stones to continue playing" kind of number.