%I #4 Mar 31 2012 12:36:55
%S 1,4,21,260,5909,333201,34163046,6659963484,3023008318216
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,3,0,1,1,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 1'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..............0..............2..............2..............0
%e .......1.1............1.0............0.0............0.0............3.1
%e ......3.4.3..........3.0.2..........0.5.0..........2.1.3..........1.1.4
%e .....1.1.1.1........1.1.2.2........0.0.3.1........0.2.1.1........1.6.1.1
%e ....1.6.1.0.0......1.6.1.0.0......0.0.1.1.4......0.0.1.6.1......3.1.1.3.0
%e ...3.1.1.3.5.0....3.1.1.3.5.0....0.1.1.6.1.1....0.5.3.1.1.3....1.2.0.0.5.0
%e ..0.1.0.1.0.0.2..0.1.4.1.0.0.0..0.2.3.1.1.3.0..0.0.0.1.4.1.0..0.2.0.0.0.0.2
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 30 2011