infinite periodic sequence of 2 letters - All-Russian MO 1996 Regional (R4) 11.8
Source:
September 23, 2024
combinatoricsperiodic
Problem Statement
Is there an infinite periodic sequence consisting of the letters and, such that if all letters are replaced simultaneously to and letters to does it transform into itself (possibly with a shift)? (A sequence is called periodic if there is such natural number , which for every -th member of this sequence is equal to the ()- th.)