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URL: https://oeis.org/A280538

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A280538
Number of essentially different optimal solutions for the n X n X n "No four in plane" problem.
2
1, 1, 232, 38, 36
OFFSET
2,3
COMMENTS
a(7) >= 3885, with an estimated value of about 5500.
LINKS
Ed Pegg, No-Four-In-Plane, can 11 points be picked from a 4 X 4 X 4 grid?. Question in Mathematics Stack Exchange, Configurations corresponding to a(4) and a(5) provided in answers.
EXAMPLE
a(2)=1, because there exists only one normalized configuration (removing rotations and reflections) with A280537(2)=5 points: (0,0,0),(0,0,1),(0,1,0),(1,0,0),(1,1,1).
a(3)=1, because there exists only one normalized configuration with A280537(3)=8 points: (0,0,0),(0,1,1),(0,1,2),(1,0,1),(1,1,0),(1,2,0),(2,0,1),(2,2,2).
CROSSREFS
Cf. A280537 for links and references.
Sequence in context: A359011 A172935 A319306 * A050423 A126818 A277076
KEYWORD
nonn,hard,more
AUTHOR
Hugo Pfoertner, Jan 05 2017
STATUS
approved