Find all homogeneous linear recursive sequences such that there is a $ T$ such that $ a_n=a_{n+T}$ for each $ n$.
Problem
Source: Iranian National Olympiad (3rd Round) 2003
Tags: algebra, polynomial, algebra proposed
Source: Iranian National Olympiad (3rd Round) 2003
Tags: algebra, polynomial, algebra proposed
Find all homogeneous linear recursive sequences such that there is a $ T$ such that $ a_n=a_{n+T}$ for each $ n$.