Problem 54345. Fill a rectangle with 1x1 and 2x2 tiles
A 3x2 rectangle can be filled with 1x1 and 2x2 tiles in three ways:
The colors merely distinguish the sizes of the tiles. A 3x3 rectangle can be filled with 1x1 and 2x2 tiles in five ways:
Write a function to count the ways that a 3xn rectangle can be filled.
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