%I #4 Mar 31 2012 12:36:31
%S 1,5,14,87,1079,18216,908323,57289286,5654429478
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,0,2,1,1,1,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 6's, every 1 is next to 1 0's, every 2 is next to 2 2'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 8X8X8
%e .........0................0................1................0
%e ........1.1..............1.1..............0.1..............1.1
%e .......1.6.1............2.1.1............1.1.3............1.1.3
%e ......0.1.1.0..........2.2.0.2..........1.4.4.1..........0.4.0.1
%e .....1.1.5.1.1........0.1.1.2.2........1.0.1.1.0........1.1.1.1.1
%e ....1.1.3.1.1.2......1.1.5.3.0.1......4.1.1.5.3.1......1.6.1.5.1.0
%e ...0.4.0.2.0.2.2....1.6.1.1.1.4.1....1.1.6.1.1.2.1....0.1.1.0.1.2.0
%e ..1.1.1.2.2.0.0.1..0.1.1.0.1.1.0.1..1.0.1.1.0.2.2.0..1.1.4.1.1.2.2.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 18 2011