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Find a recurrence relation for the number of bit sequences of length n with an even...

Find a recurrence relation for the number of bit sequences of length n with an even number of 0s. please give me an initial case.

+ (my question)

Let An is denote the number of bit sequences of length n with an even number of 0s. A(1) = 1 because of "0" not "1"? A(2) = 2 but why? why only "11" and "00" are acceptable for this problem? "11,01,10,00" doesn't make sense?

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