A183686 - OEIS

%I #5 Mar 31 2012 12:35:53

%S 384,3472,28160,239424,1992320,16748160,140090240,1174759296,

%T 9838208512,82449830016,690711971456,5787565930752,48489078457728,

%U 406275347589248,3403932556101120,28520064001053824,238954333647573120

%N Number of (n+1)X8 binary arrays with every 2X2 subblock nonsingular

%C Column 7 of A183688

%H R. H. Hardin, <a href="/A183686/b183686.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=7*a(n-1)+57*a(n-2)-332*a(n-3)-1122*a(n-4)+5412*a(n-5)+9248*a(n-6)-35984*a(n-7)-26624*a(n-8)+82304*a(n-9)

%e Some solutions for 3X8

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 06 2011