A185465 - OEIS

%I #4 Mar 31 2012 12:36:01

%S 3238,11050,83688,798330,7232746,63886624,560051658,4901493530,

%T 42904166068,375457091278,3285540131514,28751276604382,

%U 251598464967290,2201709004230846,19266907710955830,168602478680601948

%N Number of (n+1)X8 binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant

%C Column 7 of A185467

%F Empirical: a(n)=5*a(n-1)+15*a(n-2)+110*a(n-3)+219*a(n-4)+1139*a(n-5)+3106*a(n-6)+6741*a(n-7)+13370*a(n-8)+10913*a(n-9)+33532*a(n-10)-178405*a(n-11)-186527*a(n-12)-61094*a(n-13)+667105*a(n-14)+735729*a(n-15)-179902*a(n-16)-675888*a(n-17)-604129*a(n-18)+162873*a(n-19)+143017*a(n-20)-75725*a(n-21)+29933*a(n-22)+200849*a(n-23)+202206*a(n-24)-116380*a(n-25)-9910*a(n-26)+126750*a(n-27)-395*a(n-28)-69584*a(n-29)-60132*a(n-30)+15461*a(n-31)+15565*a(n-32)-8192*a(n-33)-2114*a(n-34)-296*a(n-35)+2516*a(n-36)+806*a(n-37)+22*a(n-38)+8*a(n-39)+8*a(n-40) for n>46

%e Some solutions for 3X8

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 28 2011