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%I #3 Mar 31 2012 10:29:09
%S 12,2918,64576,673943,4058656,19462319,70636336,224091378,621046332,
%T 1573877652,3582064304,3582064304,15781332296
%N Number of configurations of 4 distinct points chosen from an (n+1) X (n+1) X (n+1) lattice cube resulting in objects with volume=0.
%e a(1)=12 because the 6 faces and 6 diagonal cuts along parallel diagonals of opposite faces through a cube are objects with 4 distinct points with volume=0.
%Y Cf. A103157 binomial((n+1)^3, 4), A103656 triangular pyramids with volume>0 in lattice cube. a(n)=A103157(n)-2*A103656(n).
%K hard,more,nonn
%O 1,1
%A _Hugo Pfoertner_, Feb 14 2005
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