%I #4 Mar 31 2012 12:36:31
%S 1,1,7,64,805,21526,1060565,95311741,15835547951,4848154085309,
%T 2730611548295716,2833706084143411564
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,6,1,0,0,0,1 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 2'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 0'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 6X6X6
%e .......2............2............0............0............2............0
%e ......1.1..........1.1..........0.0..........3.0..........1.1..........0.0
%e .....1.6.1........1.6.1........0.4.3........0.4.0........1.6.1........0.5.0
%e ....0.1.1.0......0.1.1.0......1.1.0.0......0.0.1.1......0.1.1.0......3.0.1.1
%e ...0.4.0.5.0....0.4.0.5.0....1.6.1.5.0....0.5.1.6.1....3.4.0.5.0....0.4.1.6.1
%e ..0.0.3.0.0.0..0.3.0.0.0.0..2.1.1.0.0.0..0.0.0.1.1.2..0.0.0.0.0.0..0.0.0.1.1.2
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 18 2011