A207162 - OEIS

%I #4 Mar 31 2012 12:37:15

%S 1,2,8,38,644,11258,477591,38645905,5336450490,1462784939541

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

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

%e .......0.0............2.2............2.2............4.0............0.4

%e ......0.6.0..........1.3.0..........1.3.0..........0.0.2..........0.0.0

%e .....0.0.0.0........2.2.0.4........2.2.0.0........0.5.2.2........2.2.5.0

%e ....0.5.0.4.0......0.2.0.0.0......0.2.0.0.4......0.0.0.3.1......1.2.0.0.4

%e ...0.0.2.2.3.2....0.5.0.0.6.0....0.5.0.6.0.0....0.6.0.0.2.2....2.3.0.6.0.0

%e ..0.4.0.2.1.2.2..0.0.0.0.0.0.0..0.0.0.0.0.0.0..0.0.0.0.0.2.0..2.2.0.0.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Feb 15 2012