PAPERFOLDING, GENERALIZED RUDIN-SHAPIRO SEQUENCES, AND THE THUE-MORSE SEQUENCE
Anna Rodenhausen · Fractals · 1995
It is known that a family of generalized Rudin-Shapiro sequences can be derived from paperfolding sequences. We will show that the component wise sum modulo 2 of a generalized Rudin-Shapiro sequence with the well known Thue-Morse sequence again is a generalized Rudin-Shapiro sequence of the same family. Moreover, it is proved that the classical Rudin-Shapiro sequence can be recovered as a generalized Rudin-Shapiro sequence associated to paperfolding with alternating instruction.