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A190027 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. 1

%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(n-1) -a(n-2) +a(n-3) -2*a(n-4) +a(n-5) +a(n-6) -a(n-7) 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

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Last modified September 16 18:26 EDT 2021. Contains 347473 sequences. (Running on oeis4.)