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A127081 One-sided kissing number for spheres in n-dimensional Euclidean space. 0

%I #13 Sep 22 2021 10:28:16

%S 1,4,9,18

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

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

%C "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]

%H Oleg R. Musin, <a href="https://arxiv.org/abs/math/0511071">The one-sided kissing number in four dimensions</a>, arXiv:math/0511071 [math.MG], 2007.

%H Oleg R. Musin, <a href="https://arxiv.org/abs/1604.02776">Five Essays on the Geometry of László Fejes Tóth</a>, arXiv:1604.02776 [math.MG], 2016-2017.

%Y Cf. A001116, A257479.

%K hard,nonn,bref,more

%O 1,2

%A _Jonathan Vos Post_, Mar 21 2007

%E Edited by _N. J. A. Sloane_, Mar 23 2007

%E Conjectured a(5) removed from Data by _Andrey Zabolotskiy_, Sep 22 2021

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Last modified April 19 16:21 EDT 2024. Contains 371794 sequences. (Running on oeis4.)