A127081 One-sided kissing number for spheres in n-dimensional Euclidean space.

1, 4, 9, 18

Offset

1,2

Comments

a(8) = 183. Musin's conjectures: a(5) = 32, a(24) = 144855.

"Let H be a closed half-space of n-dimensional Euclidean space. Suppose S is a unit sphere in H that touches the supporting hyperplane of H. The one-sided kissing number B(n) is the maximal number of unit nonoverlapping spheres in H that can touch S." [Musin]

Links

Table of n, a(n) for n=1..4.

Oleg R. Musin, The one-sided kissing number in four dimensions, arXiv:math/0511071 [math.MG], 2007.

Oleg R. Musin, Five Essays on the Geometry of László Fejes Tóth, arXiv:1604.02776 [math.MG], 2016-2017.

Crossrefs

Cf. A001116, A257479.

Sequence in context: A008236 A088365 A139468 * A162719 A352997 A313357

Adjacent sequences: A127078 A127079 A127080 * A127082 A127083 A127084

Keyword

hard,nonn,bref,more

Author

Jonathan Vos Post, Mar 21 2007

Extensions

Edited by N. J. A. Sloane, Mar 23 2007

Conjectured a(5) removed from Data by Andrey Zabolotskiy, Sep 22 2021

Status

approved