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%I #4 Mar 31 2012 12:36:31
%S 1,5,23,271,7281,364631,40739451,9410295092,4578833628410
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,1,2,2,0,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3'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 0'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..............0..............0
%e .......0.0............0.0............0.4............0.1............4.0
%e ......0.0.0..........0.0.0..........1.0.0..........0.0.1..........0.0.0
%e .....0.6.0.0........0.5.2.2........1.0.6.0........0.5.2.2........0.5.2.2
%e ....1.0.0.5.0......4.0.0.2.3......0.0.0.0.1......0.0.0.2.3......0.0.0.2.3
%e ...2.1.2.2.0.4....0.0.6.0.1.2....0.5.2.2.1.2....0.0.6.0.1.2....0.0.6.0.1.2
%e ..2.2.3.2.0.0.0..0.0.0.0.1.2.2..0.0.0.2.3.2.2..0.4.0.0.1.2.2..0.4.0.0.1.2.2
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011