A203220 - OEIS

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

%S 1,4,28,463,20863,1908018,410029022,207200580086,237986115130053

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

%C Every 0 is next to 0 6's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0'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 ........2..............0..............2..............2..............0

%e .......1.1............0.0............1.1............1.1............0.3

%e ......1.6.1..........0.5.0..........1.6.1..........1.6.1..........0.4.0

%e .....2.1.1.2........3.0.3.2........2.1.1.2........2.1.1.2........2.0.4.0

%e ....0.0.4.0.0......0.4.0.1.1......0.3.0.3.0......0.0.0.0.3......1.1.0.4.0

%e ...0.5.0.0.0.1....1.0.3.1.6.1....1.3.0.0.5.0....2.1.5.0.0.0....1.6.1.0.5.0

%e ..0.3.0.4.0.2.1..2.1.0.2.1.1.2..2.1.0.4.0.0.0..1.0.0.0.4.0.0..2.1.1.2.0.0.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 30 2011