tB{ib`̕z@îXRj

F0=0,F1=1

@0,1,1,2,3,5,8,13,21,34,55,89,144,EEE

@Fn=1/5E{^n-(-)^-n}

L0=2,L1=1

@2,1,3,4,7,11,18,29,47,76,123,EEE

@Ln={^n+(-)^-n}

G0=p,G1=q

@Gn=Gn-1+Gn-2

@Gn+1=pFn+qFn+1

T0=0,T1=0,T2=1

@Tn=Tn-1+Tn-2+Tn-3

@=1/3E{(19+333)^1/3+(19-333)^1/3+1}=1.839287EEE

F2n+1=(Fn+1)^2+(Fn)^2

Fn+2Fn-1=(Fn+1)^2-(Fn)^2

Fn+1Fn-1-(Fn)^2=(-1)^n

Fn=FmFn+1-m+Fm-1Fn-m

Ln+m+(-1)^mLn-m=LmLn

L2n+2(-1)^2=(Ln)^2

Ln-1+Ln+1=5Fn

Fn-1+Fn+1=Ln

Fn+2-Fn-2=Ln

Fn+Ln=2Fn+1

F2n=FnLn

Fn+1Ln+1-FnLn=F2n+1

Fn+m+(-1)^nFn-m=LmFn

Fn+m-(-1)^nFn-m=FmLn

LmFn+LnFm=2Fn+2

LmFn-LnFm=(-1)^m2Fn-2

Lm+n-(-1)^mLn-m=5FmFn

(Ln)^2-2L2n=-5(Fn)^2

L2n-2(-1)^2=5(Fn)^2

5(Fn)^2-(Ln)^2=4(-1)^n+1

3Fn+Ln=2Fn+2

5Fn+3Ln=2Ln+2

Ln=Fn+2+2Fn-1

Ln=L1Fn+L0Fn-1