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Number of nXnXn triangular 0..5 arrays with new values introduced in sequential zero-upwards order and exactly one 2x2x2 triangle having values all equal.
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%I #3 Mar 29 2016 21:12:36

%S 0,1,35,20376,160121387,8865338916430,2712237121380964731,

%T 4518105101556834520792016

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

%C Column 5 of A271075.

%e Some solutions for n=4

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

%e ....1.0......1.0......0.1......1.2......0.1......1.0......0.0......1.0

%e ...1.1.2....1.1.2....2.0.1....1.2.1....2.0.0....0.2.3....1.2.2....0.0.0

%e ..2.0.0.1..1.3.4.2..1.0.0.1..1.2.1.1..0.3.0.2..0.1.3.3..1.3.0.3..2.2.1.0

%Y Cf. A271075.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 29 2016