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.

A358212 a(n) is the maximal possible sum of squares of the side lengths of an n^2-gon supported on a subset 1 <= x,y <= n of an integer lattice.

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%I A358212 #68 Jun 17 2024 15:27:34
%S A358212 4,10,36,98,232
%N A358212 a(n) is the maximal possible sum of squares of the side lengths of an n^2-gon supported on a subset 1 <= x,y <= n of an integer lattice.
%C A358212 Examples show that a(7) >= 462, a(8) >= 842, a(9) >= 1424, a(10) >= 2242.
%C A358212 Asymptotics: liminf a(n)/n^4 >= 8/27, limsup a(n)/n^4 <= 2/3.
%H A358212 Oliver Mantas Ališauskas, <a href="https://piratux.github.io/connect_points/">Grid connector</a>, Web application for this problem.
%H A358212 Oliver Mantas Ališauskas, Giedrius Alkauskas, and Valdas Dičiūnas, <a href="https://arxiv.org/abs/2311.03011">Full Grid Lattice Polygons with Maximal Sum of Squares of Edge-Lengths</a>, arXiv:2311.03011 [math.CO], 2023-2024.
%H A358212 S. Chow, A. Gafni, and P. Gafni, <a href="https://doi.org/10.1080/0025570X.2021.1869493">Connecting the dots: maximal polygons on a square grid</a>, Math. Mag. 94 (2021), no. 2, 118-124.
%H A358212 G. L. Cohen and E. Tonkes, <a href="https://doi.org/10.37236/1603">Dartboard arrangements</a>, Elect. J. Combin., 8(2) (2001), #R4.
%Y A358212 Cf. A209077, A110611, A064842, A226595, A226596.
%K A358212 nonn,hard,more
%O A358212 2,1
%A A358212 _Giedrius Alkauskas_, Nov 04 2022
%E A358212 a(5) from _Giedrius Alkauskas_, Oct 09 2023
%E A358212 a(6) from _Giedrius Alkauskas_, Nov 30 2023