A096872 - OEIS

A096872

Minimum diameter of an integral set of n points in the plane, no 3 on a line.

1, 1, 1, 4, 8, 8, 33, 56, 56, 105, 105, 105, 532, 532, 735, 735, 735, 735, 1995, 1995, 1995, 1995, 1995, 1995, 9555, 9555, 9555, 10672, 13975, 13975, 13975, 13975, 13975, 13975, 13975, 13975

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

REFERENCES

H. Harborth, Integral distances in point sets, Butzer, P. L. (ed.) et al., Karl der Grosse und sein Nachwirken. 1200 Jahre Kultur und Wissenschaft in Europa. Band 2: Mathematisches Wissen. Turnhout: Brepols. 213-224 (1998).

S. Kurz and A. Wassermann, On the minimum diameter of plane integral point sets, Ars Combinatoria, Vol. 101 (2011), 265-287.

LINKS

Table of n, a(n) for n=1..36.

Sascha Kurz and Alfred Wassermann, On the minimum diameter of plane integral point sets

CROSSREFS

Cf. A007285, A096873.

Sequence in context: A160171 A195752 A095806 * A377399 A123959 A279518

Adjacent sequences: A096869 A096870 A096871 * A096873 A096874 A096875

KEYWORD

nonn

AUTHOR

Sascha Kurz, Jul 13 2004

EXTENSIONS

Kurz and Wasserman link included, and terms a(10) to a(36) from that source appended, by Jason Kimberley, Nov 17 2011

STATUS

approved