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

%S 1,5,17,92,906,20440,603251,32383960,2816154458,404106713108

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,2,2,0,2,1 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 2's, every 4 is next to 4 0's, every 5 is next to 5 2's, every 6 is next to 6 1's

%e Some solutions with all values from 0 to 6 for 8X8X8

%e .........0................0................0................1

%e ........0.0..............2.2..............1.1..............1.0

%e .......1.4.0............2.5.2............1.6.1............3.2.2

%e ......2.2.0.0..........2.0.2.3..........0.1.1.0..........2.2.5.2

%e .....0.2.1.2.2........0.2.0.2.1........2.2.2.2.0........2.1.0.2.0

%e ....1.1.3.2.5.2......1.1.2.1.2.0......2.5.0.1.2.0......0.2.1.2.1.1

%e ...1.6.1.2.0.2.1....1.6.1.2.2.0.4....0.2.2.1.2.4.0....0.4.2.2.1.6.1

%e ..0.1.1.0.2.2.1.0..0.1.1.0.0.0.0.0..1.1.3.2.2.0.0.0..0.0.0.0.0.1.1.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 18 2011