A196898 - OEIS

%I #6 Dec 18 2015 18:17:48

%S 1,1,20,401,37194,9855864,8351540397,21716826606543,177451785967252194

%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 4,3,1,0,2 for x=0,1,2,3,4

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

%C Diagonal of A196904

%e Some solutions for n=4

%e ..0..3..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..3..0..0

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 07 2011