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A296468 Largest number of points that can be placed on an n X n point grid so that no point is equally distant from two other points on the same row or column. 4

%I #34 Jan 07 2020 11:34:59

%S 1,4,6,11,17,24,28,32,40,47,57,66,78,90

%N Largest number of points that can be placed on an n X n point grid so that no point is equally distant from two other points on the same row or column.

%C This sequence is a 2-dimensional generalization of A003002 ("no 3-term arithmetic progressions").

%e Up to 66 points (x) may be placed on a 12 X 12 point grid. Example with two symmetry axes:

%e x x . x x . . . . x x .

%e x . x . . x x . . x . x

%e . x x . . . . x x . x x

%e x . . . . x x . x x . .

%e x . . . x . x x . x . .

%e . x . x . . . x x . x .

%e . x . x x . . . x . x .

%e . . x . x x . x . . . x

%e . . x x . x x . . . . x

%e x x . x x . . . . x x .

%e x . x . . x x . . x . x

%e . x x . . . . x x . x x

%Y Cf. A003002, A193838, A300131.

%K nonn,hard,more,nice

%O 1,2

%A _Heinrich Ludwig_, Dec 13 2017

%E a(13)-a(14) from _Bert Dobbelaere_, Jan 06 2020

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)