%I #4 Mar 31 2012 12:36:30
%S 1,1,10,67,884,19670,1109494,102276730,16849486788,5455873268965
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 2,4,1,0,1,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 2's, every 1 is next to 1 4'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 0's
%e Some solutions with all values from 0 to 6 for 6X6X6
%e .......0............2............0............2............0............2
%e ......0.0..........1.1..........0.0..........1.1..........0.0..........1.1
%e .....0.5.0........1.4.1........0.5.3........1.4.1........0.6.0........1.4.1
%e ....1.3.0.0......0.0.3.0......1.0.0.0......0.3.0.0......0.0.0.1......0.0.0.0
%e ...1.4.0.6.0....0.6.0.5.0....1.4.0.6.0....0.5.0.6.0....0.5.0.4.1....0.6.0.5.3
%e ..2.1.1.0.0.0..0.0.0.0.0.0..2.1.1.0.0.0..0.0.0.0.0.0..0.3.0.1.1.2..0.0.0.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 17 2011