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Number of nXnXn triangular 0..3 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 20:27:04

%S 0,0,64,19200,9523200,10151116800,24976569139200,147041646595276800,

%T 2111181855372030771200,74797974069666738339840000,

%U 6589977222119386033348096819200

%N Number of nXnXn triangular 0..3 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all different.

%C Column 3 of A271246.

%e Some solutions for n=4

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

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

%e ...3.0.0....2.2.0....1.2.2....3.3.3....2.3.2....1.2.0....2.2.3....1.2.2

%e ..0.0.1.2..0.0.0.1..2.3.3.0..3.2.3.2..2.2.3.0..3.2.1.3..2.2.3.3..1.2.0.3

%Y Cf. A271246.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 02 2016