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A293596
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The number of vertices on successive convex layers of the positive quadrant of the two-dimensional integer grid.
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1
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1, 2, 2, 3, 4, 4, 3, 4, 6, 6, 5, 4, 6, 6, 8, 7, 6, 6, 6, 8, 9, 10, 10, 8, 8, 7, 8, 10, 10, 12, 13, 12, 12, 10, 10, 9, 10, 12, 12, 14, 13, 14, 14, 14, 12, 12, 9, 10, 14, 14, 16, 16, 17, 16, 18, 16, 16, 14, 13, 10, 14, 14, 14, 18, 18, 19, 18, 20, 18, 16, 18
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(1) is 1 because the first convex layer only has one vertex, (0,0).
a(2) is 2 because the second convex layer has the two vertices (0,1) and (1,0).
The illustration for a(5)=4, a(10)=6, ..., a(30)=12 see in Fig. 3 of the Eppstein, Har-Peled & Nivasch reference.
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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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