กtB{ib`๑ฬRQปฎiปฬPPj
@a0=0,a1=1
an=an-1+an-2 (n2)
f(x)=ฐanx^n=a0+a1x+ฐanx^n (n2)
=a0+a1x+xฐan-1x^n-1+x^2ฐan-2x^n-2 (n2)
=a0+a1x+x{f(x)-a0}+x^2f(x)
=0+x+x{f(x)-0}+x^2f(x)
f(x)=(x)/(1-x-x^2)=(1/ใ5)/(1-ฟx)-(1/ใ5)/(1-ภx)
ฟ=(1+ใ5)/2Aภ=(1-ใ5)/2
an=1/ใ5E{ฟ^n-ภ^n}