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A356252
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The smallest number of straight lines that can be used to draw n non-overlapping pentagonal stars.
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1
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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a(1) = 5 because a five-pointed star can be drawn using 5 straight lines.
a(3) = 9 because, given any existing triangle, three five-pointed stars can be drawn using 9 straight lines as follows: through each vertex of the triangle, draw a pair of lines that intersect the opposite side of the triangle in such a way as to divide that side into three line segments of equal length. In addition to these six lines, draw one line parallel to each side of the triangle.
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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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STATUS
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approved
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