%I #6 Mar 31 2012 12:36:30
%S 1,4,10,47,489,6519,146513,6298384,434627282
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,1,2,2,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 2's, every 4 is next to 4 2's, every 5 is next to 5 0's, every 6 is next to 6 1's
%e Some solutions with all values 0 to 6 for 8X8X8
%e .........0................0................0................0
%e ........1.1..............1.1..............1.2..............1.1
%e .......1.6.1............1.6.1............2.2.1............1.6.1
%e ......0.1.1.0..........0.1.1.0..........1.4.0.1..........0.1.1.0
%e .....1.2.3.2.0........0.2.3.2.1........0.2.2.1.2........0.2.3.2.1
%e ....1.2.2.1.0.0......0.0.1.2.4.1......1.1.3.1.2.0......0.0.1.2.2.1
%e ...0.2.4.1.2.5.0....0.5.2.1.2.2.0....1.6.1.2.0.5.0....0.5.2.1.4.2.0
%e ..1.1.2.1.0.0.0.0..0.0.0.0.1.2.1.1..0.1.1.0.0.0.0.0..0.0.0.0.1.2.1.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 17 2011