QUASIPOLYNOMIAL SOLUTIONS TO THE HOFSTADTER Q-RECURRENCE

摘要

In 1991, Solomon Golomb discovered a quasilinear solution to Hofstadter’s Qrecurrence. Other authors have since found other well-behaved solutions to this and other related recurrences. In this paper, we construct eventual quasipolynomial solutions of all positive degrees to Hofstadter’s recurrence.