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%I #6 Mar 30 2012 17:23:30
%S 2,480,10321920,64561751654400,1480206036768915456000,
%T 8898131405512141870083342336000,
%U 10827543712227210782977570287648768000000
%N Number of regular (4n+3)-dimensional simplices that can be inscribed on the vertices of a (4n+3)-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(0) = 2 because two regular tetrahedra can be inscribed on the vertices of a cube.
%Y See A124505 for another version.
%K nonn
%O 0,1
%A _Andrew Weimholt_, Jul 27 2005
%E a(4) from Andrew Weimholt, Dec 19, 2006
%E a(5) and a(6) from _Andrew Weimholt_, Dec 26 2006
%E a(5) and a(6) from _Andrew Weimholt_, Dec 26 2006
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