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Find a recurrence for the number of quatemary strings so that every even is preceded by an odd. For example, 13112101 is good but

 

Find a recurrence for the number of quatemary strings so that every even is preceded by an odd. For example, 13112101 is good but 13112011 is not. If then what is b+c? we write our recurrence as a ba +co -2

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