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%I #4 Mar 31 2012 12:36:55
%S 1,5,20,284,4778,200334,15899780,2217594703,664289549854
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,2,1,2,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 2'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 ........1..............1..............0..............0..............1
%e .......1.3............1.3............0.0............0.0............3.1
%e ......2.2.1..........2.2.1..........1.2.2..........0.5.0..........1.2.2
%e .....2.6.2.1........2.6.2.1........1.2.6.2........1.0.2.2........1.2.6.2
%e ....0.2.2.4.2......0.2.2.4.2......2.4.2.2.0......3.1.2.6.2......2.4.2.2.0
%e ...0.5.0.1.2.2....0.5.0.1.2.2....2.2.1.0.5.0....1.2.4.2.2.1....2.2.1.0.5.0
%e ..0.0.0.0.1.0.0..0.0.0.1.0.1.1..1.1.3.1.0.0.0..1.2.2.1.1.0.1..1.1.3.1.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 30 2011
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