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A007285
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Minimum diameter of an integral set of n points in the plane, not all on a line.
(Formerly M3295)
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3
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1, 4, 7, 8, 17, 21, 29, 40, 51, 63, 74, 91, 104, 121, 134, 153, 164, 196, 212, 228, 244, 272, 288, 319, 332, 364, 396, 437, 464, 494, 524, 553, 578, 608, 642, 667, 692, 754, 816, 897, 959, 1026, 1066, 1139, 1190, 1248, 1306, 1363
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OFFSET
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3,2
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COMMENTS
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An integral set is a set where all distances between points are integers.
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REFERENCES
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S. Kurz and A. Wassermann, On the minimum diameter of plane integral point sets, Ars Combinatoria, Vol. 101 (2011), 265-287.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Jason Kimberley from Kurz and Laue, Table of n, a(n) for n = 3..122
H. Harborth, A. Kemnitz and M. Moeller, An upper bound for the minimum diameter of integral plane sets, Discr. Comput. Geom. 9 (1993), 427-432.
Sascha Kurz and Reinhard Laue, Bounds for the minimum diameter of integral point sets, arXiv:0804.1296
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CROSSREFS
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Cf. A096872, A096873.
Sequence in context: A270216 A237599 A291750 * A225430 A295325 A239290
Adjacent sequences: A007282 A007283 A007284 * A007286 A007287 A007288
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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More terms from Sascha Kurz, Sep 11 2003
396 from Sascha Kurz, Jul 13 2004
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STATUS
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approved
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