%I #4 Mar 31 2012 12:36:31
%S 1,5,14,69,620,17796,622753,56046232,7816677450
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 5,0,2,2,1,2,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 5's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 1's, every 5 is next to 5 2's, every 6 is next to 6 1's
%e Some solutions with all values from 0 to 6 for 8X8X8
%e .........0................0................0................0
%e ........2.0..............2.2..............2.2..............1.1
%e .......2.2.1............2.5.2............2.5.2............1.6.1
%e ......3.0.4.1..........2.5.2.0..........0.2.5.2..........0.1.1.0
%e .....2.2.1.1.0........0.2.2.1.1........1.1.2.2.0........1.1.4.1.1
%e ....2.5.2.4.1.1......0.0.3.1.6.1......1.6.1.3.1.1......2.2.2.3.2.2
%e ...0.2.5.2.1.6.1....0.2.2.0.1.1.0....0.1.1.0.2.2.1....2.5.5.2.3.2.1
%e ..0.0.2.2.0.1.1.0..1.1.2.1.1.4.1.1..1.1.4.1.1.2.0.1..0.2.2.2.0.0.0.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011