MathDB

TOT 428 1994 Autumn A J5 2 periodic sequences with periods 7, 13

Source:

June 12, 2024

algebraSequenceperiodic

Problem Statement

The periods of two periodic sequences are

7

and

13

. What is the maximal length of initial sections of the two sequences which can coincide? (The period

p

of a sequence

a_1

a_2

...

is the minimal

p

such that

a_n = a_{n+p}

for all

n

.)
(AY Belov)