A186614 - OEIS

%I #5 Mar 31 2012 12:36:06

%S 654700,25852,30997,88336,439891,1478651,2676699,3211547,3276255,

%T 3284387,3291623,3298867,3306139,3313675,3324899,3352139,3475367,

%U 4273524,6521085,9738958,13025227,16335644,19749285,23845099,29397589,35927927,42537885

%N Number of (n+5)X9 binary arrays with every 6X6 subblock commuting with each horizontal and vertical neighbor 6X6 subblock

%C Column 4 of A186619

%H R. H. Hardin, <a href="/A186614/b186614.txt">Table of n, a(n) for n = 1..62</a>

%F Empirical: a(n)=a(n-1)+a(n-4)-a(n-5)+a(n-6)-a(n-7)-a(n-10)+a(n-11)+a(n-12)-a(n-16) for n>23

%e Some solutions for 7X9

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2011