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SE-SKOLORNAS 1973 Problem 2

    The Fibonacci sequence f1,f2,f3,…f_1,f_2,f_3,\dots is defined by f1=f2=1f_1=f_2=1 , fn+2=fn+1+fnf_{n+2}=f_{n+1}+f_n . Find all nn such that fn=n2f_n = n^2 .

    Dataset text AI-MO AoPS. Quoted with source.

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