A197546 - OEIS

%I #6 Mar 31 2012 12:36:30

%S 1,4,7,13,40,264,888,2335,22885,134738,1291220

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

%C Every 0 is next to 0 0's, every 1 is next to 1 1's, every 2 is next to 2 2's, every 3 is next to 3 3's, every 4 is next to 4 4's, every 5 is next to 5 5's, every 6 is next to 6 6's

%e Some solutions for 5X5X5

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

%e .....2.2........1.1........2.2........1.1........1.1........2.2........2.2

%e ....2.0.2......0.2.2......2.0.2......2.2.0......0.2.0......2.0.2......2.1.2

%e ...0.2.2.0....2.1.2.1....1.2.2.1....1.2.1.2....1.2.2.1....1.2.2.0....2.0.1.2

%e ..1.1.0.1.1..2.2.1.0.1..0.1.0.1.0..1.0.1.2.2..0.1.0.1.0..0.1.0.1.1..0.2.2.2.0

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 16 2011