In C$++$ Programming: Write a program to display the first $10$ Fibonacci numbers using the Cassini's identity

$F(n-1)F(n+1)-[F(n){]}^2=(-1{)}^n,n1,or$

$F(n+1)=\frac{[F(n){]}^2+(-1{)}^n}{F}(n-1)$

Then, with $F(0)=0,F(1)=1,F(2)=1$

Let $n=n-1,F(n)=\frac{[F(n-1){]}^2+(-1{)}^{(n-1)}}{F}(n-2)$

$\frac{\text{:}n}{F}=3,F(3)=([F(2){]}^2+(-1{)}^2)(1)=2,$ sequence $0112$

$\frac{\text{:}n}{F}=4,F(4)=([F(3){]}^2+(-1{)}^3)(2)=3,$ sequence $01123$

$\frac{\text{:}n}{F}=5,F(5)=([F(4){]}^2+(-1{)}^4)(3)=5,$ sequence $011235$

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