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%I #6 Mar 31 2012 12:36:30
%S 1,4,21,260,5402,277217,26746470,4529806572,1752572020493
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,0,1,2,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 3's, every 2 is next to 2 0'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 0 to 6 for 8X8X8
%e .........2................0................0................2
%e ........0.0..............2.2..............2.2..............0.0
%e .......2.5.0............0.4.0............0.4.0............2.5.0
%e ......2.0.0.2..........0.2.2.0..........0.2.2.0..........2.0.0.1
%e .....0.2.2.4.2........1.2.6.2.2........2.2.6.2.2........0.2.2.1.3
%e ....2.2.6.2.0.0......3.0.2.2.0.2......2.0.2.2.0.1......0.2.6.2.0.1
%e ...2.0.2.2.0.1.0....1.1.0.1.0.5.0....0.5.0.2.0.1.3....2.4.2.2.0.1.0
%e ..0.2.2.0.1.3.1.0..0.0.1.3.1.0.0.0..2.0.0.2.2.0.0.1..0.2.0.0.1.3.1.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 17 2011