A bit-string is a finite sequence of zeros and ones. Let A, be the number of strings o. length n21 that do not have two consecutive zeros. Then A = 2 (strings 0 and 1), A, = 3 (strings 01, 10, and 11), and so on. a) Calculate A3, A4, and As. b) Give a recursive definition for A,. (You don't need to justify your answer.)

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