A203379 - OEIS

%I #5 Mar 31 2012 12:36:56

%S 1,4,12,86,1385,26083,1411032,135514315,17976608084,5645718373339

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

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

%e .......4.1............4.1............0.0............0.0............0.0

%e ......1.1.0..........1.1.2..........0.0.2..........0.6.0..........0.6.0

%e .....3.2.0.0........3.2.0.0........0.5.2.3........0.0.0.2........0.0.0.0

%e ....2.2.0.0.0......2.2.0.6.0......0.0.0.2.1......0.5.0.2.3......0.0.0.5.0

%e ...0.0.5.0.6.0....0.0.5.0.0.0....0.6.0.0.4.1....0.0.1.4.1.2....1.1.2.2.0.0

%e ..0.0.0.0.0.0.0..2.0.0.0.0.0.0..0.0.0.0.1.1.0..0.0.2.1.1.0.0..1.4.1.3.2.0.2

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 31 2011