A bit-string is a finite sequence of zeros and ones. Let A, be the mumber of strings o. length n 2 1 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 As, A4, and As. b) Give a recursive definition for A. (You don't need to justify your answer.)

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A bit-string is a finite sequence of zeros and ones. Let A, be the number of
strings o. length n > 1 that do not have two consecutive zeros. Then A = 2 (strings 0
and 1), A2 = 3 (strings 01, 10, and 11), and so on.
a) Calculate A3, A4, and A5.
b) Give a recursive definition for An. (You don't need to justify your answer.)
Transcribed Image Text:A bit-string is a finite sequence of zeros and ones. Let A, be the number of strings o. length n > 1 that do not have two consecutive zeros. Then A = 2 (strings 0 and 1), A2 = 3 (strings 01, 10, and 11), and so on. a) Calculate A3, A4, and A5. b) Give a recursive definition for An. (You don't need to justify your answer.)
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