A186617 - OEIS

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

%S 40150599,955892,1360475,2676699,4710363,6009659,6820667,6908987,

%T 6919495,6930031,6940831,6954355,6980043,7071847,7512023,8708687,

%U 10602303,13875155,19034059,24347399,31701828,39823281,48652486,58874451,71008156

%N Number of (n+5)X12 binary arrays with every 6X6 subblock commuting with each horizontal and vertical neighbor 6X6 subblock

%C Column 7 of A186619

%H R. H. Hardin, <a href="/A186617/b186617.txt">Table of n, a(n) for n = 1..36</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>24

%e Some solutions for 7X12

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2011