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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 different.
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%I #3 Mar 31 2016 09:23:40

%S 0,1,56,4899,797680,269282132,197805084468,321887622195271,

%T 1163415729672643756

%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 different.

%C Column 5 of A271141.

%e Some solutions for n=4

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

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

%e ...3.1.1....2.1.1....0.1.0....0.1.2....1.2.1....2.1.0....1.1.1....0.0.2

%e ..1.1.1.1..2.1.1.3..1.1.2.0..1.1.2.0..3.1.1.4..1.1.1.2..1.2.2.3..2.0.1.1

%Y Cf. A271141.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 31 2016