Quasipolynomial Solutions to the Hofstadter Q-Recurrence

Nathan Fox

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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

Nathan Fox This is my paper

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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.

Quasipolynomial Solutions to the Hofstadter Q-Recurrence

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