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A108973 Number of regular (4n+3)-dimensional simplices that can be inscribed on the vertices of a (4n+3)-dimensional hypercube. 2
2, 480, 10321920, 64561751654400, 1480206036768915456000, 8898131405512141870083342336000, 10827543712227210782977570287648768000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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).

LINKS

Table of n, a(n) for n=0..6.

Andrew Weimholt, Further comments

EXAMPLE

a(0) = 2 because two regular tetrahedra can be inscribed on the vertices of a cube.

CROSSREFS

See A124505 for another version.

Sequence in context: A112862 A094484 A062620 * A087615 A027655 A220859

Adjacent sequences:  A108970 A108971 A108972 * A108974 A108975 A108976

KEYWORD

nonn

AUTHOR

Andrew Weimholt, Jul 27 2005

EXTENSIONS

a(4) from Andrew Weimholt, Dec 19, 2006

a(5) and a(6) from Andrew Weimholt, Dec 26 2006

a(5) and a(6) from Andrew Weimholt, Dec 26 2006

STATUS

approved

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Last modified August 5 10:01 EDT 2021. Contains 346464 sequences. (Running on oeis4.)