Question: question. Problem 14. (15 pts) Let an be the number of words of length 71 using the alphabet {(1, b, c, d} that contain an

question.

Problem 14. (15 pts) Let an be the number of words of length 71 using the alphabet {(1, b, c, d} that contain an odd number of Us Prove that an+1 = 2an+4\". Assuming a0 = 0, nd the (ordinary) generating function for the sequence {an}, and, nally, a simple closed formula for an

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