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A124505 Number of regular n-dimensional simplices that can be inscribed on the vertices of an n-dimensional hypercube. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A193542 A193545 A086260 * A025444 A212619 A309162

Adjacent sequences:  A124502 A124503 A124504 * A124506 A124507 A124508

KEYWORD

nonn

AUTHOR

Andrew Weimholt, Dec 20 2006, Dec 26 2006

STATUS

approved

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Last modified July 23 20:32 EDT 2019. Contains 325264 sequences. (Running on oeis4.)