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%I #4 Mar 31 2012 12:36:32
%S 1,5,17,92,1017,23269,789910,53978753,6677975379,1487161118854
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,2,1,0,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 2's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......0.0............0.0............0.0............0.0............0.0
%e ......0.5.0..........0.5.0..........1.2.2..........0.4.1..........1.4.0
%e .....0.0.2.2........4.0.2.2........3.2.6.2........4.0.1.3........3.1.0.4
%e ....0.0.2.6.2......0.0.2.6.2......1.1.2.2.0......0.0.2.2.1......1.2.2.0.0
%e ...0.4.1.2.2.1....0.4.1.2.2.0....0.4.0.0.5.0....0.5.2.6.2.0....0.2.6.2.5.0
%e ..0.0.1.3.1.0.1..0.0.1.3.1.0.0..0.0.0.4.0.0.0..0.0.0.2.2.0.0..0.0.2.2.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 21 2011
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