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A059518
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a(n)/n^2 is the minimal average squared Euclidean distance of n points to their center of gravity among all configurations of n points on the hexagonal lattice.
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2
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0, 1, 3, 8, 17, 29, 42, 69, 99, 135, 181, 228, 299, 371, 464, 560, 668, 788, 912, 1093, 1275, 1463, 1667, 1895, 2137, 2403, 2673, 2997, 3346, 3705, 4092, 4503, 4923, 5370, 5853, 6363, 6882, 7512, 8154, 8813, 9488, 10164, 10924, 11693, 12506, 13361
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..46.
Sean A. Irvine, Illustration of Initial Terms of A059518, 2022.
Sean A. Irvine, Java program (github)
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EXAMPLE
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a(2)=1 because the squared distance of (0,0) and of (1,0) to their center of gravity (1/2,0) is 1/4, resulting in an average of 1/4 = a(2)/2^2.
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CROSSREFS
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Sequence in context: A294412 A227017 A073433 * A024929 A033816 A011889
Adjacent sequences: A059515 A059516 A059517 * A059519 A059520 A059521
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KEYWORD
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nonn,nice
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AUTHOR
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Zsolt Kukorelly (kukorell(AT)code.ucsd.edu), Feb 15 2001
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EXTENSIONS
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a(44) corrected by Sean A. Irvine, Oct 02 2022
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STATUS
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approved
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