0,4

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).

Table of n, a(n) for n=0..30.

Andrew Weimholt, Further comments

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

See A108973 for another version.

Sequence in context: A193542 A193545 A086260 * A025444 A212619 A309162

Adjacent sequences: A124502 A124503 A124504 * A124506 A124507 A124508

nonn

Andrew Weimholt, Dec 20 2006, Dec 26 2006

approved