Question: 3. Define a function f: N -> N, where N is the set of nonnegative integers (including 0), as follows: f(0) = 1 and

3. Define a function f: N -> N, where N is the set of nonnegative integers (including 0), as follows: f(0) = 1 and for n 0, f(3n) = f(n) f(3n+1)=0 f(3n+2) = f(n). (Note that f(3n) = f(n) is consistent when n=0.) Find the sum of f(n) over all integers 0 n 1023.

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