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%I #4 Mar 31 2012 12:36:30
%S 1,5,20,179,3353,108281,6601649,818828659,196362508518,91040908551719
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,1,2,2,1,2,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 5's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 1's, every 5 is next to 5 2's, every 6 is next to 6 0's
%e Some solutions with all values 0 to 6 for 8X8X8
%e .........0................0................2................0
%e ........2.2..............2.0..............2.2..............0.2
%e .......2.5.2............2.2.0............3.1.1............1.2.2
%e ......2.5.2.0..........3.3.0.1..........2.2.4.0..........1.4.1.3
%e .....0.2.2.0.0........2.2.1.4.1........0.2.1.1.0........0.0.1.2.2
%e ....1.0.3.0.6.0......2.5.2.1.0.0......0.0.0.2.2.2......0.6.0.2.5.2
%e ...1.4.1.2.0.0.1....2.5.2.0.0.6.0....0.6.0.2.5.5.2....1.0.0.2.5.2.0
%e ..0.0.1.2.2.0.0.1..0.2.2.1.1.0.0.0..0.0.0.0.2.2.2.0..1.0.0.0.2.2.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 17 2011