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	<title>Sputsoft &#187; Fibonacci number</title>
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		<title>Continued Fractions and Continuants</title>
		<link>http://sputsoft.com/blog/2009/11/continued-fractions-and-continuants.html</link>
		<comments>http://sputsoft.com/blog/2009/11/continued-fractions-and-continuants.html#comments</comments>
		<pubDate>Tue, 10 Nov 2009 15:27:42 +0000</pubDate>
		<dc:creator>sput</dc:creator>
				<category><![CDATA[mathematics]]></category>
		<category><![CDATA[programming]]></category>
		<category><![CDATA[algorithms]]></category>
		<category><![CDATA[C++]]></category>
		<category><![CDATA[continuant]]></category>
		<category><![CDATA[continued fraction]]></category>
		<category><![CDATA[Fibonacci number]]></category>
		<category><![CDATA[quadratic irrationality]]></category>

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		<description><![CDATA[We will be considering continued fractions of the form

<div class="math">
a_0 + \displaystyle\frac{1}{a_1 + \displaystyle\frac{1}{\ddots + \displaystyle\frac{1}{a_{n-1} + \displaystyle\frac{1}{a_n}}}}
</div>

where the <span class="math">a_k</span>'s are real numbers called the partial quotients [...]]]></description>
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