%I #4 Mar 31 2012 12:36:55
%S 1,2,8,59,731,15277,617467,42956004,5260670473,1155997481999
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,5,2,0,1,1,2 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 4's, every 1 is next to 1 5's, every 2 is next to 2 2's, every 3 is next to 3 0'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..............0..............0
%e .......2.2............0.3............1.1............3.0............1.0
%e ......2.6.2..........2.2.0..........1.5.1..........0.2.2..........1.5.1
%e .....0.2.2.0........2.6.2.0........4.1.2.2........0.2.6.2........0.1.1.4
%e ....1.1.1.1.0......1.2.2.0.1......1.1.2.6.2......0.1.2.2.1......0.2.2.1.1
%e ...1.5.4.5.1.3....1.5.1.1.5.1....1.5.0.2.2.0....1.5.1.1.5.1....3.2.6.2.5.1
%e ..0.1.1.1.1.0.0..0.1.1.4.1.1.0..0.1.1.0.0.3.0..0.1.1.4.1.1.0..0.0.2.2.1.1.0
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 30 2011