Intertwinings of periodic sequences

A study of nonperiodic sequences {w j } jϵ Z which are intertwinings of two periodic sequences with maximal overlap. Expressions in terms of Beatty sequences {⌋ci + d ⌋} iϵ Z are given in case (i) both periodic sequences have the same periodic cycle and in case(ii) the periodic sequences have coprime periods. The extreme sequences in case (i) occur in a paper of Morse and Hedlund [9] and in case (ii) in a paper by Coven and Hedlund [3].