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Omni-MATH / An omino is a 1-by-1 square or a 1-by-2 horizontal rectangle. An omino tiling of…

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problem

An omino is a 1-by-1 square or a 1-by-2 horizontal rectangle. An omino tiling of a region of the plane is a way of covering it (and only it) by ominoes. How many omino tilings are there of a 2-by-10 horizontal rectangle?

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