cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A059518 #10 Oct 02 2022 23:22:25
%S A059518 0,1,3,8,17,29,42,69,99,135,181,228,299,371,464,560,668,788,912,1093,
%T A059518 1275,1463,1667,1895,2137,2403,2673,2997,3346,3705,4092,4503,4923,
%U A059518 5370,5853,6363,6882,7512,8154,8813,9488,10164,10924,11693,12506,13361
%N 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.
%H A059518 Sean A. Irvine, <a href="/A059518/a059518.pdf">Illustration of Initial Terms of A059518</a>, 2022.
%H A059518 Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a059/A059518.java">Java program</a> (github)
%e A059518 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.
%K A059518 nonn,nice
%O A059518 1,3
%A A059518 Zsolt Kukorelly (kukorell(AT)code.ucsd.edu), Feb 15 2001
%E A059518 a(44) corrected by _Sean A. Irvine_, Oct 02 2022