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A127081
One-sided kissing number for spheres in n-dimensional Euclidean space.
0
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
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
Sequence in context: A008236 A088365 A139468 * A162719 A352997 A313357
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