From: "Allan G. Schrum/Theresa C. Schrum" <agschrum@mindspring.com>
Subject: Re: continued fraction of (a+SQR(b))/c
Date: Wed, 17 May 2000 19:53:22 -0400
Newsgroups: sci.math
Summary: URL

A description of how to perform simple math operations on CFs is found at
http://www.ippi.com/rwg/cfup.htm . It includes a simple way to handle your
question. You'll need to code it, but the ideas are simple enough.

-Allan

Allen JKeirstead wrote:

> A puzzle.- The value (a+SQR(b))/c where a,b and c are integer and c
> doesn't equal 0.This represents any solution value for the quadratic
> equation. The problem- create
> a simple algorythm that will genenate the continued fraction for this
> value-Imaginary and real continued fractions for complex number
> solutions (b<0). The catch-no irrationals allowed in the algorythm in
> fact no fractions whatsoever. The algorythm must be an entirely integer
> solution. I've worked this one out and haven't seen any reference to it
> in any book on CF's. If you know of any references please post them.
> Otherwise clues to follow in the weeks to come. Allen Keirstead
> mathmusical@netidea.com