%I #4 Mar 31 2012 12:36:31
%S 1,1,4,26,192,3269,78117,3513962,247575648,30693247619,6179267999635
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,6,1,0,1,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 6's, every 2 is next to 2 1's, every 3 is next to 3 0'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 ........2..............0..............0..............0..............0
%e .......1.1............0.0............0.0............0.0............1.1
%e ......1.6.1..........3.5.0..........0.5.0..........0.5.0..........1.6.1
%e .....0.1.1.4........0.0.0.2........2.3.0.2........2.0.3.2........4.1.1.0
%e ....0.0.0.1.1......1.1.0.1.1......1.1.0.1.1......1.1.0.1.1......1.1.0.0.3
%e ...3.5.0.1.6.1....1.6.1.1.6.1....1.6.1.1.6.1....1.6.1.1.6.1....1.6.1.5.0.3
%e ..0.0.0.2.1.1.2..0.1.1.4.1.1.2..0.1.1.4.1.1.2..0.1.1.4.1.1.0..2.1.1.0.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 20 2011