%I #4 Mar 31 2012 12:36:31
%S 1,4,12,131,2261,68915,3936847,398896240,73105887206,24124756465130
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,5,0,0,2,0,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 5's, every 2 is next to 2 0's, every 3 is next to 3 0'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 from 0 to 6 for 8X8X8
%e .........0................0................2................0
%e ........0.1..............2.2..............0.0..............3.2
%e .......0.5.0............0.4.0............0.5.0............0.0.2
%e ......3.0.0.2..........0.2.2.0..........3.0.1.3..........2.2.2.0
%e .....0.2.2.4.2........2.2.6.2.3........0.2.2.0.0........0.2.6.2.2
%e ....2.2.6.2.0.0......1.0.2.2.0.0......0.2.6.2.5.0......3.0.2.2.0.1
%e ...3.0.2.2.0.5.3....0.5.0.3.0.0.0....2.4.2.2.0.0.0....0.5.0.4.0.5.0
%e ..0.0.0.2.0.0.0.0..2.0.0.0.2.2.3.0..0.2.0.0.3.0.0.2..2.0.0.2.2.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011