%I #4 Mar 31 2012 12:36:31

%S 1,4,12,48,461,6832,158136,5845234,360941736

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,0,2,1,0,2 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 1'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 8X8X8

%e .........0................0................0................2

%e ........0.0..............0.0..............0.0..............0.0

%e .......0.5.2............2.5.0............0.5.2............0.5.2

%e ......0.0.0.2..........2.0.0.0..........0.0.0.3..........0.0.0.2

%e .....2.2.2.3.0........0.3.2.2.2........2.2.2.2.2........2.2.2.3.0

%e ....0.2.6.2.0.2......1.0.2.6.2.0......0.2.6.2.0.0......0.2.6.2.0.1

%e ...0.0.2.2.0.1.1....4.1.0.2.2.0.0....0.0.2.2.0.1.1....0.0.2.2.0.1.4

%e ..2.0.0.2.0.1.4.1..1.1.2.0.2.0.0.0..0.0.0.2.0.1.4.1..0.0.0.2.0.2.1.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 18 2011