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Number of nXnXn triangular 0..6 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 20:28:13

%S 0,0,77,39210,48347502,187829420863,2247557960061633,

%T 79899827658375960942

%N Number of nXnXn triangular 0..6 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all different.

%C Column 6 of A271246.

%e Some solutions for n=4

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

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

%e ...2.1.3....0.1.3....3.0.3....0.0.3....3.4.4....2.3.0....1.2.2....1.1.2

%e ..0.1.4.3..3.4.1.5..2.0.0.2..4.3.0.1..1.4.1.3..2.3.3.4..3.4.2.4..3.0.4.1

%Y Cf. A271246.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 02 2016