Rudin–Shapiro sequence
In mathematics, the Rudin–Shapiro sequence, also known as the Golay–Rudin–Shapiro sequence, is an infinite 2-automatic sequence named after Marcel Golay, Harold S. Shapiro, and Walter Rudin, who investigated its properties. == Definition == Each term of the Rudin–Shapiro sequence is either 1 {\displaystyle 1} or − 1 {\displaystyle -1} .