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Number of nXnXn triangular 0..4 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all different.
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%I #3 Apr 02 2016 20:27:27

%S 0,0,76,33672,28240419,56147799704,276127405321884,

%T 3458900532989376102,112196911041806546125391,

%U 9529052847155132258919834684

%N Number of nXnXn triangular 0..4 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all different.

%C Column 4 of A271246.

%e Some solutions for n=4

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

%e ....1.2......1.0......1.2......1.0......0.1......1.2......1.1......1.2

%e ...1.0.0....2.0.3....3.4.3....1.2.3....1.0.0....3.3.3....2.3.4....3.1.3

%e ..3.0.4.0..1.3.0.4..3.4.3.4..2.1.2.4..2.2.1.1..4.1.0.4..4.2.1.4..2.4.3.1

%Y Cf. A271246.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 02 2016