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A127081
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One-sided kissing number for spheres in n-dimensional Euclidean space.
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0
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OFFSET
| 1,2
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COMMENTS
| 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]
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LINKS
| Oleg R. Musin, The one-sided kissing number in four dimensions, 20 March 2007.
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CROSSREFS
| Cf. A001116.
Sequence in context: A063916 A009855 A038402 * A027366 A027368 A008266
Adjacent sequences: A127078 A127079 A127080 * A127082 A127083 A127084
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KEYWORD
| hard,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 21 2007
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Mar 23 2007
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