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%I
%S 1,4,9,44,396,6005,151055,6363817,495956557,63984803623
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,5,0,2,2,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 5'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..............0..............2..............0
%e .......0.2............0.0............0.0............0.0............2.0
%e ......0.2.4..........0.6.0..........0.6.0..........0.0.0..........4.2.0
%e .....2.3.2.2........0.0.0.2........2.0.0.0........2.0.6.0........2.2.3.2
%e ....2.0.0.0.0......0.5.0.2.4......4.2.0.0.0......4.2.0.0.0......0.0.0.1.0
%e ...0.1.5.0.6.0....0.0.1.3.2.2....2.2.3.0.5.0....2.2.3.1.5.0....0.6.0.5.0.0
%e ..0.0.0.0.0.0.0..0.0.0.2.0.0.0..0.0.0.2.1.0.0..0.0.0.2.0.0.2..2.0.0.0.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011
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