A108973 - OEIS

A108973

Number of regular (4n+3)-dimensional simplices that can be inscribed on the vertices of a (4n+3)-dimensional hypercube.

2, 480, 10321920, 64561751654400, 1480206036768915456000, 8898131405512141870083342336000, 10827543712227210782977570287648768000000

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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

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.

KEYWORD

nonn

AUTHOR

EXTENSIONS

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

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

STATUS

approved