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 A059518 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. 2
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Sean A. Irvine, Illustration of Initial Terms of A059518, 2022. Sean A. Irvine, Java program (github) EXAMPLE 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. CROSSREFS Sequence in context: A294412 A227017 A073433 * A024929 A033816 A011889 Adjacent sequences: A059515 A059516 A059517 * A059519 A059520 A059521 KEYWORD nonn,nice AUTHOR Zsolt Kukorelly (kukorell(AT)code.ucsd.edu), Feb 15 2001 EXTENSIONS a(44) corrected by Sean A. Irvine, Oct 02 2022 STATUS approved

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Last modified March 30 09:39 EDT 2023. Contains 361609 sequences. (Running on oeis4.)