%I #4 Mar 31 2012 12:36:52
%S 1,7,33,523,13363,670781,69889978,13289675784,5140392609039
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,0,1,1,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 1'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 7X7X7
%e ........0..............2..............0..............0..............2
%e .......0.0............0.0............0.0............0.0............0.0
%e ......0.5.0..........0.5.0..........0.6.0..........0.6.0..........0.5.0
%e .....1.2.0.0........1.2.0.0........0.0.0.0........0.0.0.0........0.0.2.1
%e ....1.4.1.0.0......1.4.1.0.0......0.0.1.1.0......0.0.1.1.0......0.0.1.4.1
%e ...3.3.1.0.6.0....3.3.1.0.6.0....0.5.2.4.3.1....0.5.2.4.3.1....0.6.0.1.3.3
%e ..1.1.0.0.0.0.0..1.1.0.0.0.0.2..0.0.0.1.1.0.1..2.0.0.1.1.0.1..2.0.0.0.0.1.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 23 2011