%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 ndimensional simplices that can be inscribed on the vertices of an ndimensional hypercube.
%C Inscribing a ksimplex on the vertices of a kcube 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
