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Number of nXnXn triangular 0..5 arrays with no element equal to the sum or difference mod 6 of any two of its neighbors
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%I #4 Mar 31 2012 12:36:21

%S 6,140,1171,68369,15035559,10716516295,23359187769537,

%T 153210141255907393,3015630657158819868437,178074077883475758948166301

%N Number of nXnXn triangular 0..5 arrays with no element equal to the sum or difference mod 6 of any two of its neighbors

%e Some solutions for 4X4X4

%e .....3........3........2........1........1........4........3........4

%e ....3.2......2.2......2.2......1.1......1.1......4.1......3.2......1.4

%e ...2.2.2....3.3.2....2.3.3....1.4.1....4.1.1....1.4.4....3.3.2....1.1.1

%e ..2.2.2.3..3.3.3.3..2.3.2.3..4.1.4.1..1.1.1.4..4.1.1.1..2.3.2.3..1.4.4.4

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 06 2011