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	<title>Mathematical Science &#38; Technologies &#187; Carol Ouellette</title>
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		<title>Finite Summation of Integer Powers (Part 3)</title>
		<link>http://mathscitech.org/articles/finite-summations-3</link>
		<comments>http://mathscitech.org/articles/finite-summations-3#comments</comments>
		<pubDate>Fri, 02 Apr 2010 10:41:39 +0000</pubDate>
		<dc:creator>Assad Ebrahim</dc:creator>
				<category><![CDATA[Mathematics-Technical]]></category>
		<category><![CDATA[Discrete Mathematics]]></category>
		<category><![CDATA[Finite Summation]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[matlab]]></category>
		<category><![CDATA[Maxima]]></category>
		<category><![CDATA[Octave]]></category>
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		<guid isPermaLink="false">http://mathscitech.org/articles/?p=1030</guid>
		<description><![CDATA[<p>(Discrete Mathematics Techniques III)</p>
<p>Abstract
We find a direct closed-form solution, i.e. one that does not require iteration, for the general case of the finite-summation-of-integer-powers problem .  Having established in Part 2 that the closed-form solution is a polynomial, the summation is here rewritten as the sum of the  independent monomials  (), where the [...]]]></description>
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