I'd compute the number of legal positions in the game of Go. We already know the numbers up to 17x17, and the approximate value for the standard board size of 1

I'd compute the number of legal positions in the game of Go. We already know the numbers up to 17x17, and the approximate value for the standard board size of 19x19; see http://www.cwi.nl/~tromp/go/legal.html http://www.cwi.nl/~tromp/go/legal.html