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%I #4 Mar 31 2012 12:36:31
%S 1,2,5,18,139,1407,36344,1361785,74076700,9299546681,1791187843433
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,5,2,1,1,1,2 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 2's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 1's, every 6 is next to 6 2's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................0................0................0
%e ........1.1..............2.2..............1.1..............0.0
%e .......1.5.1............1.2.0............1.5.0............2.2.0
%e ......2.2.1.0..........1.5.1.0..........3.1.1.0..........2.6.2.0
%e .....2.6.2.3.0........0.1.1.3.2........0.1.4.2.2........0.2.2.0.0
%e ....1.2.2.1.1.0......2.2.4.1.2.2......1.5.1.2.6.2......1.1.4.1.1.0
%e ...1.5.1.1.5.0.2....2.6.2.1.5.1.0....2.1.1.0.2.2.0....1.5.1.1.5.0.0
%e ..0.1.1.4.1.1.2.2..0.2.2.0.1.1.0.0..2.2.0.0.0.0.0.0..0.1.0.3.1.1.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011
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