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%I #4 Mar 31 2012 12:36:31
%S 1,5,20,176,3305,105716,6566238,830613754,204947432021
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,2,2,3,2,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 3'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 ........2.2..............0.0..............0.0..............2.2
%e .......2.0.2............0.6.0............0.6.0............2.5.2
%e ......2.3.2.1..........1.0.0.1..........1.0.0.0..........3.2.3.2
%e .....2.4.3.2.1........1.2.2.2.1........1.2.2.2.3........0.2.3.4.2
%e ....2.3.3.2.0.0......2.2.3.3.2.2......2.2.3.3.2.2......0.0.2.3.3.2
%e ...2.5.2.2.0.6.0....2.5.3.4.3.5.2....2.5.3.4.3.0.2....0.6.0.2.2.5.2
%e ..0.2.2.1.1.0.0.0..0.2.2.2.2.2.2.0..0.2.2.2.2.2.2.0..0.0.0.1.1.2.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011
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