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A309318
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a(n) is the number of polygons whose vertices are the (2*n+1)-th roots of unity and whose 2*n+1 sides all have distinct slopes.
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2
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OFFSET
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1,2
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COMMENTS
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The polygons are counted as nonequivalent by reflection and rotation.
No even-sided polygons follow this rule.
This is the number of harmonious labelings on a cycle. See A329910 for the definition of harmonious labelings. - Wenjie Fang, Oct 14 2022
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LINKS
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EXAMPLE
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For n=2, the a(2)=2 solutions for 2*2+1 = 5 sides are the regular pentagon and pentagram.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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