A fair coin is tossed repeatedly... Is Xn a Markov Chain?

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A fair coin is tossed repeatedly with results Y0,Y1,Y2, … that are 0 or 1 with probability 1/2 each. For n≥ 1 let Xn = Yn + Yn-1 be the number of 1’s in the (n-1)th and nth tosses. Is Xn a Markov chain?
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