Domino Tiling - 5

Using 1'' x 2'' dominoes, there's one way to tile a 1'' x 2'' area, 2 ways to tile a 2'' x 2'' area, 3 ways to tile a 3'' x 2'' area, and 5 ways to tile a 4'' x 2'' area.

How many ways are there to tile a 5'' x 2'' area?

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