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 A124505 Number of regular n-dimensional simplices that can be inscribed on the vertices of an n-dimensional hypercube. 1

%I

%S 1,1,0,2,0,0,0,480,0,0,0,10321920,0,0,0,64561751654400,0,0,0,

%T 1480206036768915456000,0,0,0,8898131405512141870083342336000,0,0,0,

%U 10827543712227210782977570287648768000000,0,0,0

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

%C 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).

%H Andrew Weimholt, <a href="/A108973/a108973.txt">Further comments</a>

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

%Y See A108973 for another version.

%K nonn

%O 0,4

%A _Andrew Weimholt_, Dec 20 2006, Dec 26 2006

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Last modified November 27 19:48 EST 2022. Contains 358406 sequences. (Running on oeis4.)