%I #4 Mar 31 2012 12:36:31
%S 1,7,24,208,2623,56379,2049939,129937199,14288858831,2747104046529
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,0,1,0,0,0 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 0's, every 3 is next to 3 1's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................0................0................0
%e ........0.0..............0.0..............0.0..............0.0
%e .......0.6.0............0.6.0............0.6.0............0.5.0
%e ......0.0.0.0..........2.0.0.0..........4.0.0.0..........0.0.4.2
%e .....1.4.0.0.0........1.4.0.4.1........0.0.0.6.0........0.6.0.0.1
%e ....3.2.0.0.0.0......2.0.0.0.1.3......0.4.0.0.0.0......0.0.0.4.1.1
%e ...1.1.0.5.0.0.4....2.0.0.5.2.1.2....0.2.1.4.0.5.0....4.0.5.0.1.1.0
%e ..0.1.1.2.0.4.0.0..1.0.4.0.0.2.0.0..1.1.3.1.0.0.2.1..0.0.0.2.1.3.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011