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Re:Evolution of chess: Popularity of openings over time by pbhjpbhj on Monday May 26, 2014 @11:24PM (#7802702)
>as n increases, pieces are removed from the board for example restricting the number of legal moves //

As the pawns are moved to make way for the back row the number of legal moves increases very quickly. For example if white plays d2-d3 then it frees the King, Queen and Bishop to move; 2 possible moves are removed and 8 are added.

Re:Evolution of chess: Popularity of openings over time by bane on Tuesday May 27, 2014 @12:58PM (#7805451)
Right, but eventually the number of possible next moves starts to drop. A game with a King, Queen, and Two Bishops has more possible valid next moves than a game with just a King and a Bishop left.