%I #4 Mar 31 2012 12:37:15
%S 1,2,11,106,1899,64973,4349876,549052024,133443751524,62140758790253
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,5,2,0,0,1,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 5's, every 1 is next to 1 5's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 0'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 ........2..............0..............0..............2..............0
%e .......2.2............3.3............0.0............2.2............3.0
%e ......0.0.0..........0.0.0..........0.0.4..........3.0.0..........0.2.2
%e .....0.6.0.0........0.0.2.2........0.6.0.0........0.0.6.0........4.0.2.1
%e ....3.0.0.1.1......0.6.0.2.1......2.0.0.3.1......1.3.0.0.3......0.0.1.5.1
%e ...0.4.2.2.5.1....4.0.0.1.5.1....2.2.4.1.5.1....1.5.1.4.0.3....0.6.0.1.1.2
%e ..0.0.0.2.1.1.0..0.0.0.0.1.1.0..0.0.0.0.1.1.0..0.1.1.0.3.0.0..0.0.0.0.0.2.2
%K nonn
%O 1,2
%A _R. H. Hardin_ Feb 15 2012