login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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

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

%S 1,2,7,37,602,18354,1272060,208122448,79321631051,70822976472060,

%T 147945365445395494,721450315462495908444

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

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

%C Diagonal of A196922

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 07 2011