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Number of nXnXn triangular 0..7 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all different.
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%I #3 Apr 01 2016 12:36:57

%S 0,1,72,10794,4427471,5756884188,25677012223896,404846097287202139

%N Number of nXnXn triangular 0..7 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all different.

%C Column 7 of A271194.

%e Some solutions for n=4

%e .....0........0........0........0........0........0........0........0

%e ....1.0......1.1......0.1......1.0......1.1......0.1......0.1......1.1

%e ...2.1.1....2.2.1....2.1.0....0.1.1....1.0.2....2.3.1....2.0.2....2.1.3

%e ..0.3.1.4..0.3.2.2..2.1.0.2..2.2.3.3..1.1.1.2..4.2.2.1..0.0.3.3..1.0.0.0

%Y Cf. A271194.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 01 2016