Question
Sat February 11, 2012 By:
 

? Define a sequence {F0(x),F1(x),F2(x),Â…..} of functions by F0(x)=1, F1(x)=x, square of {Fn(x)-1}=Fn+1(x)Fn-1(x), for all n>=1.Prove that each Fn(x) is a polynomial with integer coefficients.

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Fri February 17, 2012
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