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A197793 Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,2,0,2,2,0 for x=0,1,2,3,4,5,6 0

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

%S 1,5,23,181,2757,78811,3813021,346650159,59637265200

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

%C Every 0 is next to 0 5's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 0'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 8X8X8

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

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

%e .......2.2.2............1.3.0............0.2.2............0.6.0

%e ......2.4.0.2..........1.2.2.1..........0.2.4.2..........0.0.0.3

%e .....2.5.2.2.0........0.2.0.2.2........3.2.1.0.2........1.3.0.3.0

%e ....1.2.2.0.0.0......0.0.2.4.4.2......0.0.2.1.2.1......2.2.2.2.2.0

%e ...3.0.3.0.6.0.0....0.6.0.2.2.5.2....0.6.0.2.5.2.0....2.0.1.4.5.2.0

%e ..0.0.0.3.0.0.0.0..0.0.0.3.0.2.2.0..0.0.0.0.2.2.1.1..0.2.2.2.2.2.1.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 18 2011

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