A256984 Maximal number of joints that can be formed by n lines in space.

0, 0, 0, 1, 1, 2, 4, 4, 5, 7, 10

Offset

0,6

Comments

A joint is a point in space where three non-coplanar lines intersect.

It is not completely certain that a(9)=7 has been proved.

Links

Table of n, a(n) for n=0..10.

Joseph Zurier, Generalizations of the Joints Problem, 2015.

Joseph Zurier, The Joints Problem in Incidence Geometry (Video), Part 1, Experimental Math Seminar, Rutgers University, Apr 23 2015

Joseph Zurier, The Joints Problem in Incidence Geometry (Video), Part 2, Experimental Math Seminar, Rutgers University, Apr 23 2015

Crossrefs

Sequence in context: A147534 A118001 A182414 * A111138 A349462 A340761

Adjacent sequences: A256981 A256982 A256983 * A256985 A256986 A256987

Keyword

nonn,more

Author

N. J. A. Sloane, Apr 24 2015

Status

approved