%I #4 Mar 31 2012 12:36:30
%S 1,4,13,82,973,13261,309663,11566445,631393531
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,1,1,0,1,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 0's, every 5 is next to 5 1's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................1................1................0
%e ........0.4..............1.0..............1.0..............1.1
%e .......4.0.0............2.4.0............1.2.0............2.5.1
%e ......0.0.6.0..........1.0.0.0..........1.0.0.4..........0.1.1.0
%e .....0.4.0.0.0........3.1.2.0.0........3.1.2.0.0........0.4.2.2.1
%e ....2.1.2.0.4.0......1.5.1.0.6.0......1.5.1.0.6.0......0.0.0.0.2.3
%e ...1.5.1.2.2.1.2....0.1.1.2.0.0.0....0.1.1.2.0.0.0....4.0.0.6.0.1.1
%e ..0.1.1.0.1.3.1.0..1.1.1.0.0.4.0.0..1.2.2.0.0.4.0.0..0.0.0.0.0.2.1.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 17 2011
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