Re: [math-fun] Generalized Fibonacci sequences and arithmetic progressions

Would you be so kind as to define what a "two-sided generalized Fibonacci sequence means"? Sorry, I'm too dumb to be able to figure out what the general term is from "n-m,m,n,m+n". —Dan ----- Given a two-sided generalized Fibonacci sequence ...,n-m,m,n,m+n,... (with m,n in Z and not both zero), must there exist a two-sided arithmetic progression ...,a-d,a,a+d,... (with a,d in Z and d nonzero) that is disjoint from it? -----