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%I #4 Mar 31 2012 12:36:31
%S 1,1,7,28,271,5297,99050,3532980,245893069,22704931721
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,1,1,1,0,0 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 1'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..............2..............0..............0..............1
%e .......0.0............1.1............0.0............1.0............1.3
%e ......0.6.0..........3.4.3..........0.5.0..........3.4.1..........1.4.1
%e .....1.0.0.0........1.1.1.1........1.2.0.0........1.1.1.3........3.1.2.0
%e ....3.1.2.5.0......1.0.0.0.0......3.1.0.0.0......0.0.0.2.1......1.2.0.0.0
%e ...1.4.1.0.0.0....3.2.5.0.6.0....1.4.1.0.6.0....0.6.0.5.0.0....0.0.5.0.6.0
%e ..2.1.3.1.0.0.0..1.1.0.0.0.0.0..2.1.3.1.0.0.0..0.0.0.0.0.0.0..0.0.0.0.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 20 2011
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