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A198006 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,2,0,2,2,0,0 for x=0,1,2,3,4,5,6 0

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

%S 1,4,33,328,7415,275014,18684018,2307507868,504270356235

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

%C Every 0 is next to 0 4'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 0's, every 6 is next to 6 0's

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

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

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

%e ......0.6.0..........4.2.1..........0.5.0..........0.5.0..........2.1.0

%e .....2.0.0.0........2.2.0.1........2.0.0.0........2.1.0.0........2.0.5.0

%e ....4.2.0.5.2......0.0.5.0.2......4.2.0.6.0......0.3.0.6.0......0.3.0.0.0

%e ...2.2.3.0.0.2....0.6.0.0.3.0....2.2.3.0.0.1....0.2.2.0.0.0....0.2.2.0.6.0

%e ..0.0.0.2.1.1.0..2.0.0.0.2.2.0..0.0.0.2.2.2.0..0.2.4.2.0.0.2..0.2.4.2.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 20 2011

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