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.

A280537 Maximum number of points that can be selected from an n X n X n grid so that no four of them are in a plane.

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%I A280537 #17 Oct 27 2017 13:02:04
%S A280537 5,8,10,13,16,18,20
%N A280537 Maximum number of points that can be selected from an n X n X n grid so that no four of them are in a plane.
%C A280537 Terms up to a(6) were found by exhaustive search. a(7) and a(8) are based on extensive numerical evidence.
%C A280537 Currently (January 2017) known lower bounds for the next terms are a(9)>=23, a(10)>=26, a(11)>=28, a(12)>=30, a(13)>=32, a(14)>=35, a(15)>=36, a(16)>=38, a(17)>=42.
%D A280537 Walter Möhres, Exhaustive Search for the 6x6x6 "No Four in Plane Problem". Private communication, September 2016.
%H A280537 Ed Pegg Jr, <a href="http://demonstrations.wolfram.com/NoFourInPlaneProblem/">No-Four-In-Plane Problem</a>, Wolfram Demonstrations Project.
%H A280537 Ed Pegg, <a href="http://math.stackexchange.com/questions/553431/no-four-in-plane-can-11-points-be-picked-from-a-4-times4-times4-grid">No-Four-In-Plane, can 11 points be picked from a 4 X 4 X 4 grid?</a>. Question in Mathematics Stack Exchange, a(4) and a(5) provided in answers.
%H A280537 Torsten Sillke, <a href="https://groups.google.com/forum/#!topic/rec.puzzles/pLH_gZeItq8">no 4 on a plane (3*3*3 puzzle)</a>, discussion in newsgroup rec.puzzles, Nov 27, 1992.
%H A280537 Al Zimmermann's Programming Contests, <a href="http://azspcs.com/Contest/Tetrahedra">Non-Coplanar Points</a>, March - June 2016.
%Y A280537 Cf. A000769, A272651, A280538.
%K A280537 nonn,more,hard
%O A280537 2,1
%A A280537 _Hugo Pfoertner_, Jan 05 2017