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A037189 Number of ways of placing 4n points on 2n X 2n grid so no 3 are in a line (solutions with either 90-degree rotational symmetry or full symmetry). 2

%I #17 Dec 02 2018 04:08:17

%S 0,0,3,4,6,4,13,13,7,16,8,23,36,58,92,101,172,281,337,541,746

%N Number of ways of placing 4n points on 2n X 2n grid so no 3 are in a line (solutions with either 90-degree rotational symmetry or full symmetry).

%H A. Flammenkamp, <a href="http://dx.doi.org/10.1016/0097-3165(92)90012-J">Progress in the no-three-in-line problem</a>, J. Combinat. Theory A 60 (1992), 305-311.

%H A. Flammenkamp, <a href="https://doi.org/10.1006/jcta.1997.2829">Progress in the no-three-in-line problem. II</a>, J. Combin. Theory Ser. A 81 (1998), no. 1, 108-113.

%H A. Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/no3in/table_old.txt">Solutions of the no-three-in-line problem</a> (Incorrect table!)

%H A. Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/no3in/table.txt">Solutions of the no-three-in-line problem</a>

%Y Cf. A000769.

%K nonn,nice,more

%O 1,3

%A _N. J. A. Sloane_

%E More terms (from Flammenkamp) from _N. J. A. Sloane_, May 24 2005

%E Edited by _N. J. A. Sloane_, Aug 29 2008 at the suggestion of _R. J. Mathar_

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