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

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: A387877 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

Status

approved