%I #4 Mar 31 2012 12:36:32
%S 1,4,15,75,879,15766,530019,30323508,2989066962,507557052083
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,6,0,2,0,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 6's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 0'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 7X7X7
%e ........0..............2..............2..............0..............0
%e .......0.0............0.0............0.0............0.0............0.0
%e ......4.0.0..........0.5.0..........0.5.0..........0.0.0..........2.1.1
%e .....0.0.3.2........0.4.0.0........2.0.4.0........0.5.0.2........0.1.6.1
%e ....1.1.2.2.0......1.1.0.0.2......3.2.0.1.1......0.4.0.1.1......0.0.1.1.0
%e ...1.6.1.0.5.0....1.6.1.4.2.3....0.2.3.1.6.1....2.2.0.1.6.1....0.5.0.2.0.4
%e ..0.1.1.2.0.0.2..0.1.1.0.0.2.0..2.0.2.0.1.1.0..0.3.2.0.1.1.0..2.0.2.3.2.0.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 20 2011