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URGENT Consider a 1-by-n chessboard. Suppose we color each square of the chessboard with one of the four colors red, yellow, green, and blue. Let

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Consider a 1-by-n chessboard. Suppose we color each square of the chessboard with one of the four colors red, yellow, green, and blue. Let hn be the number of coloring in which the number of squares colored red is even and the number of squares colored blue is odd. Find the generating function for the sequence hn and then find a formula for hn.

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