A185884 - OEIS

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

%S 588,28086,1367896,66642628,3246601822,158165462152,7705358302364,

%T 375382835991994,18287564821580820,890917264229752280,

%U 43402911480566404166,2114464283378121452876,103010582623598272525692

%N 1/729 the number of (n+2)X4 0..2 arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace

%C Column 2 of A185891

%H R. H. Hardin, <a href="/A185884/b185884.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=20*a(n-1)+1233*a(n-2)+8989*a(n-3)-39476*a(n-4)-230317*a(n-5)+681084*a(n-6)+1237146*a(n-7)-4665436*a(n-8)+3729450*a(n-9)-1401052*a(n-10)+1331088*a(n-11)-1754064*a(n-12)+3484296*a(n-13)-2993760*a(n-14)+680400*a(n-15)

%e Some solutions for 6X4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 05 2011