[math-fun] Combinatorics of continued fractions?

Generating functions have a pretty clear combinatorial interpretation: the coefficient on x^n is the number of ways to put a particular structure on an n-element totally ordered set. Is there any clear combinatorial interpretation of the terms of a simple continued fraction? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com