I noted the following relation for the form [tex] F_{n} = n^{2}-3n+1[/tex](adsbygoogle = window.adsbygoogle || []).push({});

let [tex]p_n[/tex] be any whole factor of [tex] F_n[/tex] and [tex]p_{n}^{'}[/tex] be the quotient. The following relation then holds

[tex]\frac{F_{n}}{p} * \frac{F_{(n+p)}}{p} = F_{(n+p_{n}^{'})}

A trivial example would be to let p = 1. Then

[tex] F_{n} * F_{(n+1)} = F_{(n+F_{n})}

Is this something that is of interest?

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# Factors of the form N^2 - 3N +1

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