A185861 - OEIS

%I #5 Mar 31 2012 12:36:04

%S 694,9604,148747,2306566,35696805,552341314,8546141676,132241750157,

%T 2046201477768,31662104131197,489920627750375,7580791076767043,

%U 117301071441252352,1815056316879910619,28085224933208554527

%N 1/128 the number of (n+2)X6 binary arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace

%C Column 4 of A185866

%H R. H. Hardin, <a href="/A185861/b185861.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=13*a(n-1)+86*a(n-2)-729*a(n-3)-588*a(n-4)+7148*a(n-5)-4926*a(n-6)-832*a(n-7)-7418*a(n-8)+5675*a(n-9)-4618*a(n-10)+5644*a(n-11)-1871*a(n-12)+4193*a(n-13)-1693*a(n-14)+70*a(n-15)-954*a(n-16)-206*a(n-17)+152*a(n-18)+28*a(n-19) for n>21

%e Some solutions for 4X6

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 05 2011