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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,2,1,0,0,2 for x=0,1,2,3,4,5,6
0

%I #4 Mar 31 2012 12:36:31

%S 1,5,17,110,1437,32819,1252159,87764151,10989915463

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,2,1,0,0,2 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 6's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 2's

%e Some solutions with all values from 0 to 6 for 7X7X7

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

%e .......0.0............0.0............0.0............0.4............0.0

%e ......1.2.2..........0.5.0..........0.0.4..........4.0.0..........4.0.0

%e .....3.2.6.2........2.2.0.0........0.5.0.0........0.0.5.0........0.0.5.0

%e ....1.1.2.2.0......2.6.2.0.0......2.2.0.4.1......1.4.0.2.2......1.4.0.2.2

%e ...0.4.0.0.5.0....1.2.2.1.4.0....2.6.2.0.1.3....1.1.0.2.6.2....1.1.0.2.6.2

%e ..0.0.0.0.0.0.0..1.0.1.3.1.0.0..0.2.2.1.3.1.0..0.1.3.1.2.2.0..0.3.1.1.2.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011