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A Slow Relative of Hofstadter's Q-Sequence
Nathan Fox
Hofstadter's Q-sequence remains an enigma fifty years after its introduction. Initially, the terms of the sequence increase monotonically by 0 or 1 at a time. But, Q(12)=8 while Q(…
math.NT2016
Finding Linear-Recurrent Solutions to Hofstadter-Like Recurrences Using Symbolic Computation
Nathan Fox
The Hofstadter Q-sequence, with its simple definition, has defied all attempts at analyzing its behavior. Defined by a simple nested recurrence and an initial condition, the sequen…