A186585 - OEIS

%I #5 Mar 31 2012 12:36:05

%S 805791,42313,115699,293665,569947,626233,635779,645937,662467,701065,

%T 850195,1094737,1785355,2632681,4196451,5971361,8671483,11762217,

%U 16584099,22317345,31282251,42723033,60753651,84156817,119423547

%N Number of (n+3)X8 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

%C Column 5 of A186589

%H R. H. Hardin, <a href="/A186585/b186585.txt">Table of n, a(n) for n = 1..95</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)+2*a(n-4)-4*a(n-5)+2*a(n-6)+2*a(n-8)-2*a(n-9) for n>15

%e Some solutions for 5X8

%e ..0..0..0..0..0..1..2..0....0..0..0..0..0..0..2..0....0..0..0..0..0..0..0..2

%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..2

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

%e ..1..0..0..0..0..0..0..0....0..2..0..0..0..0..0..0....0..0..0..0..0..0..0..0

%e ..1..0..0..0..0..0..0..1....0..1..0..0..0..0..0..0....2..1..1..0..0..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2011