Enumerating the rationals from left to right

S. P. Glasby

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arXiv · 1011.2823

Enumerating the rationals from left to right

S. P. Glasby

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Abstract

Farey sequences, Stern-Brocot sequences, the Calkin-Wilf sequences are shown to be generated via almost identical second order recurrence relations. These sequences have combinatorial, computational, and geometric applications, and are useful for enumerating the rational numbers.

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S. P. Glasby. 2010-11-12. Enumerating the rationals from left to right. https://arxiv.org/abs/1011.2823

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