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Number of nXnXn triangular 0..5 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all different.
0

%I #3 Apr 02 2016 20:27:50

%S 0,0,77,38571,43105569,131856310191,1093512241613007,

%T 24635545692810106290,1513334529452573133766363

%N Number of nXnXn triangular 0..5 arrays with new values introduced in sequential zero-upwards order and exactly one inverted 2x2x2 triangle having values all different.

%C Column 5 of A271246.

%e Some solutions for n=4

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

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

%e ...1.1.0....2.3.3....0.2.0....1.2.3....2.3.4....2.3.1....1.2.2....2.0.1

%e ..1.0.2.2..1.4.1.4..2.0.2.0..3.1.0.1..2.2.0.1..2.2.3.2..0.3.4.0..0.0.3.1

%Y Cf. A271246.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 02 2016