%I #4 Mar 31 2012 12:36:55

%S 1,4,10,62,993,10608,269018,11754673,619558949,58326979574

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

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

%e Some solutions with all values from 0 to 6 for 7X7X7

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

%e .......0.0............0.0............0.0............2.0............1.1

%e ......0.6.0..........0.0.0..........0.6.0..........1.0.0..........1.4.3

%e .....0.0.0.0........0.6.0.0........0.0.0.0........3.2.5.0........0.2.1.1

%e ....0.0.0.2.1......0.0.0.2.1......1.2.0.5.0......1.1.0.0.0......0.0.0.2.0

%e ...0.5.2.1.4.1....0.5.2.1.4.1....1.4.1.2.0.0....0.4.2.0.6.0....0.0.6.0.5.0

%e ..0.0.0.1.3.1.0..0.0.0.1.3.1.0..1.0.1.3.1.2.1..1.1.1.0.0.0.0..0.0.0.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011