Sequences related to convergents to square root of rationals
Number Theory
2007-05-23 v3 Combinatorics
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.
Cite
@article{arxiv.math/0305270,
title = {Sequences related to convergents to square root of rationals},
author = {Mario Catalani},
journal= {arXiv preprint arXiv:math/0305270},
year = {2007}
}
Comments
V3 Added two paragraphs on Newton's iteration algorithm