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%I #4 Mar 31 2012 12:36:31
%S 1,4,22,156,4277,103671,7433963,912939580,204689985054
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,2,1,1,1,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 2'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..............2
%e .......0.0............1.1............2.1............0.0............1.1
%e ......0.6.0..........1.4.1..........1.4.1..........0.1.2..........3.4.1
%e .....0.0.0.0........1.2.2.3........3.1.2.0........0.5.0.1........1.1.2.0
%e ....0.5.0.2.1......0.0.0.1.1......2.1.0.0.0......0.0.0.1.3......2.0.0.5.0
%e ...1.0.1.1.4.1....0.6.0.5.0.2....1.0.5.0.6.0....0.6.0.2.4.1....1.0.6.0.0.1
%e ..1.2.2.1.3.1.2..0.0.0.0.0.0.1..0.0.0.0.0.0.0..0.0.0.0.1.1.2..0.0.0.0.1.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011
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