A186616 - OEIS

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

%S 15228305,451621,614995,1478651,3608091,5490491,6009659,6088635,

%T 6098495,6108363,6118259,6128419,6141303,6166351,6262063,6714603,

%U 8035411,11072195,15797367,21906448,28096053,34652354,42086819,51247420,62109293

%N Number of (n+5)X11 binary arrays with every 6X6 subblock commuting with each horizontal and vertical neighbor 6X6 subblock

%C Column 6 of A186619

%H R. H. Hardin, <a href="/A186616/b186616.txt">Table of n, a(n) for n = 1..41</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 7X11

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2011