%I #4 Mar 31 2012 12:36:32
%S 1,0,1,1,1,12,512,1217,16737,6174387,84508934
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 0,5,0,1,1,1,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 0's, every 1 is next to 1 5'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 1's, every 6 is next to 6 1's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............0..............0
%e .......1.1............1.1............1.1............1.1............1.1
%e ......0.5.1..........1.5.0..........0.5.1..........0.5.1..........1.5.0
%e .....3.1.1.4........4.1.1.2........2.1.1.4........2.1.1.3........4.1.1.3
%e ....1.1.6.1.1......1.1.6.1.0......0.1.6.1.1......0.1.6.1.0......1.1.6.1.1
%e ...1.5.1.1.5.1....1.5.1.1.5.1....1.5.1.1.5.1....1.5.1.1.5.1....1.5.1.1.5.1
%e ..0.1.0.2.0.1.0..0.1.0.3.1.1.0..0.1.1.3.0.1.0..0.1.1.4.1.1.0..0.1.0.2.0.1.0
%K nonn
%O 1,6
%A _R. H. Hardin_ Oct 20 2011