ʉtB{ib`îSj

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

(1,n)G2i-1=G2n-G0

(1,n)Gi=Gn+2-G2

(1,n)G2i=G2n+1-G1

(1,n)G2i-(1,n)G2i-1=G2n-1-G2n+G0-G1

(1,n)(Gi-1)/2^i=(G0+G3)/2-(Gn+2)/2^n

(1,n)(Fi-1)/2^i=1-(Fn+2)/2^n

(1,4n+2)Gi=L2n+1G2n+3

(1,2n)GiGi-1=(G2n)^2-(G0)^2

(1,2n)FiFi-1=(FG2n)^2

(1,2n+1)GiGi-1=(G2n+1)^2-(G0)^2-(G1)^2+G0G2

(1,2n+1)FiFi-1=(F2n+1)^2-1

(1,n)Gi+2Gi-1=(Gn+1)^2-(G1)^2

(1,n)(Gi)^2=GnGn+1-G0G1

(1,n)(Fi)^2=FnFn+1

(0,n)(-1)^iLn-2i=2Fn+1

5(0,n)FiFn-i=(n+1)Ln-2Fn+1=nLn-Fn

(0,n)LiLn-i=(n+1)Ln+2Fn+1=(n+2)Ln+Fn

(0,n)FiLn-i=(n+1)Fn