Definition D9 The Fibonacci Numbers FnF_nFn, n≥0n \geq 0n≥0, are defined as F0=0 ;F1=1 ;Fn+2=Fn+1+Fn ,n≥0.\begin{aligned} F_0 &= 0 \; ; \\ F_1 &= 1 \; ; \\ F_{n+2} &= F_{n+1} + F_n \; , \quad n \geq 0. \end{aligned} F0F1Fn+2=0;=1;=Fn+1+Fn,n≥0.