Recursive sequences

[Tanya Khovanova]

Leroy Quet wrote:
> 
[...]
> 
> So, if x = the root of x^3 - x -1 = 0,* (I am assuming that b(n) -> x.)...
> 
> *(What is this root? I have no access to a computer algebra program, and
> I do not know how to solve the cubic off the top of my head. I am
> embarrassed that I don't know the root to even this simple cubic.)

1 real root, numerically x~=1.32471795744

Hugo