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	<title>Comments on: Anatomy of a Project Euler problem, and, some remarks on the OEIS</title>
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		<title>By: Project Euler problem 191, or, how I learned to stop counting and love induction &#171; the jsomers.net blog</title>
		<link>http://jsomers.net/blog/pe-oeis/comment-page-1#comment-10926</link>
		<dc:creator>Project Euler problem 191, or, how I learned to stop counting and love induction &#171; the jsomers.net blog</dc:creator>
		<pubDate>Fri, 25 Feb 2011 06:49:05 +0000</pubDate>
		<guid isPermaLink="false">http://jsomers.net/blog/pe-oeis#comment-10926</guid>
		<description>&lt;p&gt;[...] raved elsewhere about the OEIS, so I won&#8217;t do that again here. Suffice it to say it&#8217;s an invaluable [...]&lt;/p&gt;
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		<content:encoded><![CDATA[<p>[...] raved elsewhere about the OEIS, so I won&#8217;t do that again here. Suffice it to say it&#8217;s an invaluable [...]</p>]]></content:encoded>
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		<title>By: Larry</title>
		<link>http://jsomers.net/blog/pe-oeis/comment-page-1#comment-7800</link>
		<dc:creator>Larry</dc:creator>
		<pubDate>Sat, 01 Jan 2011 13:27:31 +0000</pubDate>
		<guid isPermaLink="false">http://jsomers.net/blog/pe-oeis#comment-7800</guid>
		<description>&lt;p&gt;Interesting solution and excellent narrative.  I reached the point you did, where I realized that I could find specific ratios for the 2, 3, 4, 5 and 6 cases.&lt;/p&gt;

&lt;p&gt;My approach was analysis in Base 2.  For example, I saw that 1001 could work in the 2 case, 110001 in the 3 case, etc.  Pencil and paper was not going to work for the 6 case, though, so I searched and found your post.&lt;/p&gt;

&lt;p&gt;Again, very nice.&lt;/p&gt;
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		<content:encoded><![CDATA[<p>Interesting solution and excellent narrative.  I reached the point you did, where I realized that I could find specific ratios for the 2, 3, 4, 5 and 6 cases.</p>

<p>My approach was analysis in Base 2.  For example, I saw that 1001 could work in the 2 case, 110001 in the 3 case, etc.  Pencil and paper was not going to work for the 6 case, though, so I searched and found your post.</p>

<p>Again, very nice.</p>]]></content:encoded>
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		<title>By: Jeremy</title>
		<link>http://jsomers.net/blog/pe-oeis/comment-page-1#comment-3351</link>
		<dc:creator>Jeremy</dc:creator>
		<pubDate>Wed, 06 Jan 2010 21:23:21 +0000</pubDate>
		<guid isPermaLink="false">http://jsomers.net/blog/pe-oeis#comment-3351</guid>
		<description>&lt;p&gt;Another interpretation of the Catalan numbers whose correspondence to the problem is a bit closer (in my opinion) is that it is the number of ways of making a path along an n x n grid, going only up and to the right, where your vertical coordinate is always greater than or equal to your horizontal component (i.e., you step in the upper-left-hand side).&lt;/p&gt;
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		<content:encoded><![CDATA[<p>Another interpretation of the Catalan numbers whose correspondence to the problem is a bit closer (in my opinion) is that it is the number of ways of making a path along an n x n grid, going only up and to the right, where your vertical coordinate is always greater than or equal to your horizontal component (i.e., you step in the upper-left-hand side).</p>]]></content:encoded>
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		<title>By: Sharon Traiberman</title>
		<link>http://jsomers.net/blog/pe-oeis/comment-page-1#comment-15</link>
		<dc:creator>Sharon Traiberman</dc:creator>
		<pubDate>Fri, 13 Mar 2009 21:44:02 +0000</pubDate>
		<guid isPermaLink="false">http://jsomers.net/blog/pe-oeis#comment-15</guid>
		<description>&lt;p&gt;Sick solution man. Sick solution.&lt;/p&gt;

&lt;p&gt;The chords thing is very nice.&lt;/p&gt;
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		<content:encoded><![CDATA[<p>Sick solution man. Sick solution.</p>

<p>The chords thing is very nice.</p>]]></content:encoded>
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