- #1
ramsey2879
- 841
- 3
I noted the following relation for the form [tex] F_{n} = n^{2}-3n+1[/tex]
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?
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?