Instructions

Let $$a_n$$ denote the number of all n-digit positive integers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let $$b_n =$$ the number of such n-digit integers ending with digit 1 and $$c_n =$$ the number of such n-digit integers ending with digit 0.

Question 52

The value of $$b_6$$ is


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