A209040 - OEIS

%I #7 Dec 18 2015 18:18:04

%S 4,124,47700,225262148,13034933066892,9239962457023110368,

%T 80235179157233210417254036,8534774056580607728132307076396612,

%U 11121202754126311568095965858257048619933492

%N Number of n X n 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it

%C Diagonal of A209047

%H R. H. Hardin, <a href="/A209040/b209040.txt">Table of n, a(n) for n = 1..10</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 04 2012