PIXIE takes a walk on a rectangular grid of n rows and 3 columns, starting from the bottom left corner.
At each step, he can either move one square to the right or simultaneously move one square to the left
and one square up. In how many ways can he reach the center square of the topmost row?
At each step, he can either move one square to the right or simultaneously move one square to the left
and one square up. In how many ways can he reach the center square of the topmost row?
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