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%I #4 Mar 31 2012 12:36:32
%S 1,2,5,33,228,3088,57920,1692421,89966033,7774886220
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,2,1,1,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 3'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 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 .......1.1............0.0............2.2............0.0............0.0
%e ......3.4.3..........0.6.0..........0.2.0..........0.6.0..........1.0.0
%e .....1.1.1.1........1.0.0.0........0.5.0.1........0.0.0.1........3.1.5.0
%e ....0.0.0.0.0......3.1.0.5.0......0.0.0.1.3......0.5.0.1.3......1.4.0.0.0
%e ...2.2.5.0.6.0....1.4.1.0.2.0....0.6.0.1.4.1....0.2.0.1.4.1....2.1.1.0.6.0
%e ..0.2.0.0.0.0.0..0.1.3.1.2.2.0..0.0.0.1.3.1.0..0.2.2.1.3.1.0..2.2.3.1.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 21 2011
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