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A203212 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,2,0,2,2,2,0 for x=0,1,2,3,4,5,6 0

%I #4 Mar 31 2012 12:36:55

%S 1,4,33,263,4775,128981,5306951,387751453,43916084516,8188708881446

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

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

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

%e ........0..............1..............1..............2..............0

%e .......0.1............2.0............0.2............0.0............2.0

%e ......2.2.0..........0.2.2..........2.2.0..........0.6.0..........3.2.0

%e .....0.5.2.1........1.2.5.0........0.5.2.1........1.0.0.2........2.4.2.0

%e ....0.2.2.0.0......0.0.2.2.0......0.2.2.0.0......0.2.2.4.3......0.0.2.5.2

%e ...0.2.4.0.6.0....0.6.0.4.2.0....0.2.4.0.6.0....1.2.5.2.2.2....0.6.0.2.2.0

%e ..0.2.3.2.0.0.2..2.0.0.2.3.2.0..0.2.3.2.0.0.0..0.0.2.0.0.0.0..0.0.0.1.0.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011

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