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%I #4 Mar 31 2012 12:36:55
%S 1,5,20,284,4856,206135,16666149,2387347463,736521073609
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,1,2,1,2,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6'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..............0..............0..............0..............0
%e .......1.2............2.2............0.0............1.1............2.2
%e ......3.2.2..........2.6.2..........0.5.0..........0.3.0..........2.6.2
%e .....1.1.4.1........0.2.2.1........2.2.0.0........2.2.1.1........0.2.2.1
%e ....0.0.2.2.1......0.0.4.1.0......0.2.4.2.2......0.2.4.2.2......0.0.4.0.1
%e ...0.5.2.6.2.3....0.5.2.2.3.1....1.0.1.2.6.2....0.5.0.2.6.2....0.5.2.2.3.0
%e ..0.0.0.2.2.1.1..0.0.0.2.0.1.0..0.1.3.1.2.2.0..0.0.0.0.2.2.0..0.0.0.2.1.1.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 30 2011
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