2003arXiv (Cornell University)Open access

Sequences related to convergents to square root of rationals

Mario Catalani

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Abstract

In this note we study some sequences whose ratio converges to the square root of rationals. Further we analyze some related sequences obtained when the above mentioned ratio simplifies.

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What this paper is about

In this note we study some sequences whose ratio converges to the square root of rationals. Further we analyze some related sequences obtained when the above mentioned ratio simplifies.

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Available abstract

In this note we study some sequences whose ratio converges to the square root of rationals. Further we analyze some related sequences obtained when the above mentioned ratio simplifies.

Key concepts: Rational number, Square root, Root (linguistics), Mathematics, Square (algebra), Combinatorics, Geometry, Philosophy

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