A186603 - OEIS

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

%S 11884,916,1566,5813,19840,44120,61336,66332,67552,68580,69616,70680,

%T 72140,75248,88073,126738,189047,256748,327317,408631,516821,649719,

%U 789469,935195,1104491,1339328,1661182,2057589,2530541,3108377,3859944

%N Number of (n+4)X7 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock

%C Column 3 of A186609

%H R. H. Hardin, <a href="/A186603/b186603.txt">Table of n, a(n) for n = 1..154</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 6X7

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

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

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

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

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

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