%I #5 Apr 02 2016 20:26:42
%S 0,0,27,3969,900963,401227533,378139318893,781827640754454,
%T 3616937252790336657,37896435473683175186868,
%U 906454150918706470312961064,49772528444719473909687286111017,6299004718478220148511987214265415811
%N Number of nXnXn triangular 0..2 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all different.
%C Column 2 of A271246.
%H R. H. Hardin, <a href="/A271240/b271240.txt">Table of n, a(n) for n = 1..14</a>
%e Some solutions for n=4
%e .....0........0........0........0........0........0........0........0
%e ....1.0......1.1......0.0......1.1......1.0......0.1......1.0......1.2
%e ...0.2.1....1.2.1....0.0.1....1.0.1....2.2.2....1.2.2....2.0.0....2.2.0
%e ..0.2.2.1..2.1.0.1..0.2.2.0..2.2.1.0..1.2.2.2..2.2.2.2..1.1.2.0..0.2.1.2
%Y Cf. A271246.
%K nonn
%O 1,3
%A _R. H. Hardin_, Apr 02 2016