Difference between revisions of "1988 IMO Problems/Problem 3"

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-A function <math>f</math> is defined on the positive integers by
-<math> f(1) = 1, f(3) = 3, f (2n) = f (n)</math> ,
-<math> f(4n+1) = 2f(2n+1)−f(n)</math>, <math>f(4n+3) = 3f(2n+1)−2f(n)</math> ,
-for all positive integers <math> n</math> .
-Determine the number of positive integers <math> n</math> , less than or equal to <math> 1988</math> , for which <math> f(n) = n</math>
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