A pawn is placed on the lower left corner square of a standard 8 by 8 chessboard. A 'move' involves moving the pawn, where possible, either:
one square to the right,
one square up, or
diagonally one square up and to the right.
Using these legitimate moves the pawn is to be moved along a path from the lower left square to the upper right square. How many such paths are there?
