A197882 - OEIS

%I #6 Dec 18 2015 18:17:54

%S 1,4,6,155,2730,129294,13253562,2512321052

%N Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,2,1,1,1 for x=0,1,2,3,4

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

%C Diagonal of A197889

%e Some solutions containing all values 0 to 4 for n=4

%e ..1..0..2..1....1..0..2..1....1..3..1..2....2..1..3..1....1..3..1..2

%e ..2..1..1..3....2..1..1..3....2..1..4..1....1..4..1..2....2..1..4..1

%e ..2..1..4..1....2..1..4..1....2..1..1..3....3..1..1..2....0..1..1..0

%e ..1..3..1..2....1..0..1..2....1..0..2..1....1..2..0..1....1..2..2..1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 19 2011