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A270578
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The number of distinct planes defined by an n X n X n grid of points.
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1
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OFFSET
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2,1
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LINKS
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EXAMPLE
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The 8 points of the 2 X 2 X 2 grid define 20 planes: the 6 faces of the cube, 6 planes formed by an edge and its opposite edge, and 8 planes defined by the three vertices surrounding a given vertex. So, a(2)=20.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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