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Number of nXnXn triangular 0..3 arrays with no element equal to the difference mod 4 of any two of its neighbors
1

%I #6 Mar 31 2012 12:36:21

%S 4,36,103,1179,33943,2110051,268635167,68723825153,35184506013367,

%T 36028802839103173,73786976651882166835,302231454934581155492511,

%U 2475880078574541543008355341,40564819207303993488253830603201

%N Number of nXnXn triangular 0..3 arrays with no element equal to the difference mod 4 of any two of its neighbors

%H R. H. Hardin, <a href="/A193874/b193874.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for 4X4X4

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

%e ....1.1......2.2......1.1......3.3......3.2......3.3......2.3......1.1

%e ...4.1.4....2.3.2....1.1.1....2.3.3....2.3.3....2.2.3....3.3.3....1.1.4

%e ..4.1.4.1..2.3.3.3..1.1.3.1..3.2.2.2..2.2.2.2..3.3.2.2..2.2.2.3..1.1.1.4

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 07 2011