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arxiv: 1511.06484 · v1 · pith:VOD74KQG · submitted 2015-11-20 · math.NT · math.CO

Quasipolynomial Solutions to the Hofstadter Q-Recurrence

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classification math.NT math.CO
keywords hofstadterq-recurrencequasipolynomialsolutionsconstructdegreesdiscoveredeventual
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In 1991, Solomon Golomb discovered a quasilinear solution to Hofstadter's Q-recurrence. In this paper, we construct eventual quasipolynomial solutions of all positive degrees to Hofstadter's recurrence.

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