A108973 - OEIS

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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 (list; graph; refs; listen; history; text; internal format)

	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: A112862 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` `a(5) and a(6) from Andrew Weimholt, Dec 26 2006`
	STATUS	`approved`

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Last modified August 5 10:01 EDT 2021. Contains 346464 sequences. (Running on oeis4.)