A186528 - OEIS

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

%S 81,554,4020,28522,203346,1448300,10317234,73494218,523535260,

%T 3729392026,26566253962,189244190416,1348077312794,9603002534510,

%U 68406801866740,487294523222534,3471233063104946,24727261243092472,176144164759542978

%N Number of (n+1)X2 0..2 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant

%C Column 1 of A186536

%H R. H. Hardin, <a href="/A186528/b186528.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=3*a(n-1)+17*a(n-2)+66*a(n-3)+129*a(n-4)+183*a(n-5)+162*a(n-6)-29*a(n-7)-150*a(n-8)-189*a(n-9)-109*a(n-10)-2*a(n-11)+8*a(n-12) for n>13

%e Some solutions for 3X2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 23 2011