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

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

%S 1,11,206,16876,4326720,3805929995,11300853019444,113522093851497024

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

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

%C Diagonal of A196856

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 06 2011