%I #4 Mar 31 2012 12:37:04

%S 1,7,18,139,2263,33868,1366867,93953872,8556279399

%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,0,0,1,1,0,1 for x=0,1,2,3,4,5,6

%C Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 1'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 7X7X7

%e ........0..............1..............1..............0..............0

%e .......0.0............0.1............1.0............0.0............2.1

%e ......0.5.0..........1.1.3..........3.1.1..........0.5.0..........0.1.3

%e .....2.0.2.1........1.6.1.2........2.1.6.1........1.2.0.2........1.1.4.1

%e ....3.1.1.4.3......0.1.1.0.0......0.0.1.1.0......1.4.1.1.3......1.6.1.2.0

%e ...1.1.6.1.1.1....2.2.4.2.5.0....0.5.2.4.1.2....0.2.1.6.1.1....0.1.1.0.5.0

%e ..1.0.1.1.0.2.0..1.0.1.1.0.0.2..2.0.0.1.3.1.0..1.2.0.1.1.0.1..1.1.3.2.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 21 2012