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Number of nXnXn triangular 0..4 arrays with new values introduced in sequential zero-upwards order and exactly one 2x2x2 triangle having values all different.
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%I #3 Mar 31 2016 09:23:13

%S 0,1,56,4890,778256,245558565,158940847866,214449879142050,

%T 608705034569823114,3658579907427743991339

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

%C Column 4 of A271141.

%e Some solutions for n=4

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

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

%e ...1.0.0....1.0.1....2.1.0....1.1.2....2.1.3....1.2.2....1.2.2....3.1.1

%e ..2.2.0.2..1.0.2.1..2.1.1.3..0.0.2.2..1.1.1.0..0.1.0.0..0.1.2.0..2.3.3.3

%Y Cf. A271141.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 31 2016