A186605 - OEIS

%I #5 Mar 31 2012 12:36:05

%S 156276,10882,19840,54040,101080,126344,132040,133484,134936,136416,

%T 138160,141124,149504,175064,237212,343672,478073,619334,779227,

%U 977188,1221205,1496127,1786289,2120643,2555213,3142299,3894691,4803584,5916562

%N Number of (n+4)X9 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock

%C Column 5 of A186609

%H R. H. Hardin, <a href="/A186605/b186605.txt">Table of n, a(n) for n = 1..90</a>

%F Empirical: a(n)=a(n-1)+a(n-3)-a(n-4)+a(n-5)-a(n-6)-a(n-8)+a(n-9)+a(n-10)-a(n-13) for n>19

%e Some solutions for 6X9

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2011