%I #4 Mar 31 2012 12:36:31
%S 1,4,4,44,562,4173,288399,13101564,817352426
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 0,0,2,1,1,1,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 0'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 2's
%e Some solutions with all values from 0 to 6 for 7X7X7
%e ........0..............0..............0..............2..............1
%e .......1.1............2.2............2.2............2.2............0.1
%e ......1.4.3..........2.6.2..........2.6.2..........0.1.1..........1.4.1
%e .....1.0.1.1........1.2.2.0........0.2.2.1........1.5.1.0........3.1.0.1
%e ....2.2.1.5.0......3.0.1.3.1......3.1.1.0.1......4.1.1.2.2......1.5.1.2.2
%e ...2.6.2.1.1.2....1.1.4.1.5.1....1.1.5.1.4.1....1.1.0.2.6.2....0.1.1.2.6.2
%e ..0.2.2.0.1.2.2..0.1.1.0.1.1.0..1.0.1.3.1.0.1..0.3.1.1.2.2.0..1.3.1.0.2.2.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 20 2011