%I
%S 228,79,158,274,362,430,506,610,790,1094,1539,2128,2917,3951,5309,
%T 7171,9723,13188,17946,24428,33181,45089,61273,83193,113026,153617,
%U 208697,283598,385441,523693,711599,967038,1313966,1785449,2426308,3296908
%N Number of (n+2) X 5 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.
%C Column 3 of A190033.
%H R. H. Hardin, <a href="/A190027/b190027.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n1) a(n2) +a(n3) 2*a(n4) +a(n5) +a(n6) a(n7) for n>11.
%F Empirical g.f.: x*(228  377*x + 228*x^2  191*x^3 + 349*x^4  248*x^5  257*x^6 + 205*x^7 + 17*x^8 + 25*x^10) / ((1  x)*(1  x  x^3 + x^4  x^6)).  _Colin Barker_, May 03 2018
%e Some solutions for 4 X 5:
%e ..0..0..0..0..1....0..0..0..0..1....0..0..0..0..0....1..0..0..0..0
%e ..0..0..0..0..1....0..0..0..0..0....0..0..0..0..1....0..0..0..0..1
%e ..1..0..0..0..0....1..0..0..0..0....1..0..0..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..0..0
%Y Cf. A190033.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 04 2011
