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%I #4 Mar 31 2012 12:36:52
%S 1,5,14,69,581,8288,183749,5852151,304335082,26755090180
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,2,1,1,1,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 0'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 1's, every 6 is next to 6 2's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............2..............2..............0..............1
%e .......2.2............2.2............2.2............2.2............1.0
%e ......2.6.2..........0.1.1..........1.1.0..........2.6.2..........1.4.0
%e .....0.2.2.0........1.5.1.0........0.1.5.1........0.2.2.1........0.1.1.1
%e ....1.1.3.1.1......3.1.1.2.2......2.2.1.1.3......1.1.1.0.1......2.2.3.5.1
%e ...1.1.5.1.4.1....1.4.0.2.6.2....2.6.2.0.4.1....2.1.5.1.4.1....2.6.2.1.1.0
%e ..1.0.1.1.0.0.1..0.1.1.1.2.2.0..0.2.2.1.1.1.0..2.2.0.1.3.1.0..0.2.2.0.1.1.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 23 2011
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