A124505 Number of regular n-dimensional simplices that can be inscribed on the vertices of an n-dimensional hypercube.

1, 1, 0, 2, 0, 0, 0, 480, 0, 0, 0, 10321920, 0, 0, 0, 64561751654400, 0, 0, 0, 1480206036768915456000, 0, 0, 0, 8898131405512141870083342336000, 0, 0, 0, 10827543712227210782977570287648768000000, 0, 0, 0

Offset

0,4

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..30.

Andrew Weimholt, Further comments

Example

a(3) = 2 because two regular tetrahedra can be inscribed on the vertices of a cube.

Crossrefs

See A108973 for another version.

Sequence in context: A336399 A370701 A086260 * A326855 A025444 A212619

Adjacent sequences: A124502 A124503 A124504 * A124506 A124507 A124508

Keyword

nonn

Author

Andrew Weimholt, Dec 20 2006, Dec 26 2006

Status

approved