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A005418
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Number of (n-1)-bead black-white reversible strings; also binary grids; also row sums of Losanitsch's triangle A034851; also number of caterpillar graphs on n+2 vertices.
(history;
published version)
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#320 by Michael De Vlieger at Tue May 21 13:44:25 EDT 2024
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#319 by Eric W. Weisstein at Tue May 21 10:08:25 EDT 2024
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#318 by Eric W. Weisstein at Tue May 21 10:08:21 EDT 2024
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a(n) is is also the number of distinct planar embeddings of the 2 X (n+2) grid graph i.e., the (n+2)-ladder graph. - Eric W. Weisstein, May 21 2024
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Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Ladder Graph.html">Ladder Graph</a>.
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proposed
editing
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#317 by Eric W. Weisstein at Tue May 21 10:01:17 EDT 2024
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#316 by Eric W. Weisstein at Tue May 21 10:01:15 EDT 2024
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a(n) is also the number of distinct planar embeddings inof the (n+2)-centipede graph (up to at least n=8 and likely for all larger n). - Eric W. Weisstein, May 21 2024
a(n) is is also the number of distinct planar embeddings of the 2 X (n+2) grid graph. - Eric W. Weisstein, May 21 2024
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Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a>.
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approved
editing
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#315 by Michael De Vlieger at Tue May 21 08:46:46 EDT 2024
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#314 by Eric W. Weisstein at Tue May 21 07:59:29 EDT 2024
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#313 by Eric W. Weisstein at Tue May 21 07:59:26 EDT 2024
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Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PlanarEmbedding.html">Planar EmbeddinghEmbedding</a>.
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proposed
editing
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#312 by Eric W. Weisstein at Tue May 21 07:45:31 EDT 2024
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#311 by Eric W. Weisstein at Tue May 21 07:45:28 EDT 2024
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a(n) is also the number of distinct planar embeddings in the (n+2)-centipede graph (up to at least n=8 and likely for all larger n). - Eric W. Weisstein, May 21 2024
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Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CentipedeGraph.html">Centipede Graph</a>.
Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PlanarEmbedding.html">Planar Embeddingh</a>.
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approved
editing
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