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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
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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
A360042
A360361
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
