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A007285 Minimum diameter of an integral set of n points in the plane, not all on a line.
(Formerly M3295)
3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

COMMENTS

An integral set is a set where all distances between points are integers.

REFERENCES

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).

LINKS

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

CROSSREFS

Cf. A096872, A096873.

Sequence in context: A270216 A237599 A291750 * A225430 A239290 A057464

Adjacent sequences:  A007282 A007283 A007284 * A007286 A007287 A007288

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sascha Kurz, Sep 11 2003

396 from Sascha Kurz, Jul 13 2004

STATUS

approved

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Last modified November 19 10:44 EST 2017. Contains 294936 sequences.