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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
1, 4, 6, 11, 17, 24, 28, 32, 40, 47, 57, 66, 78, 90 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..14.

EXAMPLE

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

x x . x x . . . . x x .

x . x . . x x . . x . x

. x x . . . . x x . x x

x . . . . x x . x x . .

x . . . x . x x . x . .

. x . x . . . x x . x .

. x . x x . . . x . x .

. . x . x x . x . . . x

. . x x . x x . . . . x

x x . x x . . . . x x .

x . x . . x x . . x . x

. x x . . . . x x . x x

CROSSREFS

Cf. A003002, A193838, A300131.

Sequence in context: A343341 A343345 A343346 * A060577 A197985 A058579

Adjacent sequences:  A296465 A296466 A296467 * A296469 A296470 A296471

KEYWORD

nonn,hard,more,nice

AUTHOR

Heinrich Ludwig, Dec 13 2017

EXTENSIONS

a(13)-a(14) from Bert Dobbelaere, Jan 06 2020

STATUS

approved

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Last modified June 16 13:05 EDT 2021. Contains 345057 sequences. (Running on oeis4.)