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Search: id:A108973
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| A108973 |
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Number of regular (4n+3)-dimensional simplices that can be inscribed on the vertices of a (4n+3)-dimensional hypercube. |
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+0
2
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| 2, 480, 10321920, 64561751654400, 1480206036768915456000, 8898131405512141870083342336000, 10827543712227210782977570287648768000000
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Inscribing a k-simplex on the vertices of a k-cube is only possible when k is congruent to 3 mod 4 (excluding the trivial cases of k=0,1).
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LINKS
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Andrew Weimholt, Further comments
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EXAMPLE
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a(0) = 2 because two regular tetrahedra can be inscribed on the vertices of a cube.
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CROSSREFS
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See A124505 for another version.
Adjacent sequences: A108970 A108971 A108972 this_sequence A108974 A108975 A108976
Sequence in context: A112862 A094484 A062620 this_sequence A087615 A027655 A024032
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KEYWORD
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nonn
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AUTHOR
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Andrew Weimholt (andrew(AT)weimholt.com), Jul 27 2005
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EXTENSIONS
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a(4) from Andrew Weimholt, Dec 19, 2006
a(5) and a(6) from Andrew Weimholt (andrew(AT)weimholt.com), Dec 26 2006
a(5) and a(6) from Andrew Weimholt (andrew(AT)weimholt.com), Dec 26 2006
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