1,2

Conjectures: a(8) = 183, 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. Clearly, B(2)=4. It was proved that B(3)=9. Recently, K. Bezdek proved that B(4)=18 or 19 and conjectured that B(4)=18. We present a proof of this conjecture." [Musin]

Oleg R. Musin, The one-sided kissing number in four dimensions, 20 March 2007.

Cf. A001116.

Sequence in context: A063916 A009855 A038402 this_sequence A027366 A027368 A008266

Adjacent sequences: A127078 A127079 A127080 this_sequence A127082 A127083 A127084

hard,nonn

Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 21 2007

Edited by N. J. A. Sloane (njas(AT)research.att.com), Mar 23 2007