q-Analogs of Classical 6-Periodicity: From Euler to Chebyshev Boris A KUPERSHMIDT The University of Tennessee Space Institute, Tullahoma, TN 37388, USA E-mail: [email protected] Received November 19, 2002; Accepted January 03, 2003 Abstract The sequence of period 6 starting with 1, 1, 0,−1,−1, 0 appears in many different disguises in mathematics. Various q-versions of this sequence are found, a...