A Property of m-Tuplings Morse Sequence

摘要

The m-tuplings Morse sequence, as a fixed point of a constant length substitution, was discussed. An equivalent definition was given by the property of the m-adic development of the integers. Using the combinatorial properties of the m-tuplings Morsesequence, we mainly obtain this sequence is an admissible sequence and the other two sequences generated by it are also admissible sequences, which extends the conclusion that the Thue-Morse sequence is an admissible sequences.