How can make a continued fraction in the following format? [duplicate]

How can make a continued fraction in the previous format?

\documentclass{article}
$\Phi^{n,n}(x) = f_0 + \contfrac{x-x_0}{\phi(x_0,x_1)} + \contfrac{x-x_1}{\phi(x_0,x_1,x_2)} + \cdots$