IMO Shortlist 1978 problem 9


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2. travnja 2012.
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Let 0<f(1)<f(2)<f(3)<\ldots a sequence with all its terms positive. The n-th positive integer which doesn't belong to the sequence is f(f(n))+1. Find f(240).
Izvor: Međunarodna matematička olimpijada, shortlist 1978