A007285 Minimum diameter of an integral set of n points in the plane, not all on a line. (Formerly M3295)

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

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 [math.CO], 2008-2019.

Crossrefs

Cf. A096872, A096873.

Sequence in context: A270216 A237599 A291750 * A225430 A295325 A239290

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