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A014529
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Largest convex area that can be tiled with n equilateral triangles whose sides s_k are relatively prime, i.e., gcd(s_1,...,s_n) = 1.
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6
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1, 2, 3, 7, 11, 20, 36, 71, 146, 260, 495, 860, 1559, 2831, 5114
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OFFSET
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1,2
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COMMENTS
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The terms published to date (n <= 15) are consistent with a tribonacci growth rate. Specifically, floor(A000073(n+2) * 5/6) <= a(n) <= A000073(n+2). - Peter Munn, Sep 27 2017
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REFERENCES
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Robert T. Wainwright, quoted by Ian Stewart, Math. Recreations, Scientific American, Jul 15 1997, p. 96.
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LINKS
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EXAMPLE
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For n = 6 a convex polygon with area 20 is:
*-------*
/ \ / \
/ \ / \
/ \ / \
*---*---* \
\ / \ / \
*---*-----------*
The sides are relatively prime because gcd(1, 1, 1, 2, 2, 3) = 1. (End)
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CROSSREFS
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KEYWORD
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nonn,hard,nice,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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