Paper:S.L. Basin/A Primer on the Fibonacci Sequence Part I

S.L. Basin and V.E. Hoggatt, Jr.: A Primer on the Fibonacci Sequence Part I

Published $1963$, The Fibonacci Quarterly.

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hosted by The Fibonacci Association

Contents

Fibonacci numbers
Lucas numbers
Sum of Fibonacci numbers
Sum of Lucas numbers
F(n+1)F(n-1)-F(n)^2=(-1)^n
L(n+1)L(n-1)-L(n)^2=5(-1)^(n+1)
L(n)=F(n+1)+F(n-1)
F(2n+1)=F(n+1)^2+F(n)^2
F(2n)=F(n+1)^2-F(n-1)^2
F(2n)=F(n)L(n)
F(n+m+1)=F(n+1)F(m+1)+F(n)F(m)
L(n)^2-5F(n)^2=4(-1)^n
F(-n)=(-1)^(n+1)F(n)
L(-n)=(-1)^nL(n)