%I #4 Mar 31 2012 12:36:55
%S 1,4,22,186,6533,192632,19111567,3204615373,1000664675682
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,2,1,1,1,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 0's, every 6 is next to 6 1's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........2..............2..............1..............0..............1
%e .......1.1............1.1............0.2............1.2............2.0
%e ......1.6.1..........1.6.1..........0.1.0..........3.1.0..........0.1.0
%e .....2.1.1.2........2.1.1.2........2.1.3.2........2.1.0.2........2.1.3.2
%e ....0.0.3.0.0......0.3.0.0.0......0.1.4.1.1......0.1.4.1.1......0.1.4.1.1
%e ...0.5.2.1.1.2....2.1.1.2.5.0....0.5.0.1.6.1....0.5.0.1.6.1....0.5.0.1.6.1
%e ..0.0.0.1.4.1.0..0.1.4.1.0.0.0..0.0.0.2.1.1.2..0.0.0.2.1.1.2..0.0.0.2.1.1.2
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 29 2011
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