%I
%S 1,4,22,177,5738,160173,13351462,1939178408,480290035535
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,2,1,1,1,1,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's, every 5 is next to 5 1'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..............1..............0
%e .......0.0............1.1............0.0............1.2............0.0
%e ......0.6.0..........0.5.1..........0.6.0..........1.4.2..........0.6.0
%e .....0.0.0.2........2.1.1.2........2.0.0.2........2.1.1.1........2.0.0.0
%e ....2.1.3.1.1......1.3.1.0.0......1.1.3.1.1......0.0.3.5.1......1.1.3.1.2
%e ...0.1.4.1.5.1....1.4.2.0.6.0....1.4.1.5.1.0....0.6.0.1.1.2....1.5.1.4.1.0
%e ..0.0.1.2.0.1.2..2.1.1.0.0.0.0..1.2.2.1.1.2.0..0.0.0.2.1.0.0..2.1.0.2.1.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 19 2011
