%I
%S 1,7,18,83,883,8004,137386,3684780,120845236,6910251668
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,0,0,2,2,1,0 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 2's, every 4 is next to 4 2'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..............1..............0..............0..............0
%e .......2.0............0.1............0.0............2.0............0.2
%e ......3.2.0..........1.5.1..........0.6.0..........3.2.0..........0.2.3
%e .....2.4.2.0........2.1.1.0........2.0.0.2........2.4.2.0........0.2.4.2
%e ....0.0.2.1.1......0.0.2.2.0......3.4.2.1.1......0.0.2.1.1......1.1.2.0.0
%e ...0.6.0.2.5.1....0.6.0.4.2.0....2.2.2.1.5.0....0.6.0.2.5.1....1.5.2.0.6.0
%e ..0.0.0.0.1.1.0..2.0.0.2.3.2.0..0.0.0.0.1.1.1..2.0.0.0.1.1.0..0.1.1.0.0.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Feb 15 2012
