%I #4 Mar 31 2012 12:36:31
%S 1,4,42,793,32276,2592379,423445648,145596625120,102532694528027
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,2,0,0,2,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 2'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 1's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................0................0................0
%e ........0.3..............3.0..............2.0..............2.0
%e .......0.0.2............0.3.0............1.1.0............1.1.0
%e ......2.0.5.0..........0.2.2.0..........1.6.1.0..........1.6.1.0
%e .....1.1.0.0.2........3.2.4.2.0........2.1.1.2.0........2.1.1.2.0
%e ....1.6.1.0.2.4......0.0.1.1.1.0......0.0.1.4.2.1......0.0.1.4.2.1
%e ...2.1.1.2.3.2.2....3.5.0.1.6.1.0....0.5.3.2.2.0.1....0.5.0.2.2.0.0
%e ..0.0.0.1.0.0.0.0..0.0.0.2.1.1.2.0..2.0.0.0.0.2.2.0..2.0.3.0.2.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011