Sequences related to convergents to square root of rationals

2003/05/19 by Mario Catalani, Catalani, Mario
Mathematics · Physics and Astronomy · #11K99 #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.CO #math.NT #msc:11K99

paper · pdf · doi:10.48550/arxiv.math/0305270

V3 Added two paragraphs on Newton's iteration algorithm

openalex publication_date 2003/05/19 · arxiv created 2003/06/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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