A208423 - OEIS

%I #5 Mar 31 2012 12:37:23

%S 18,324,1278,10098,55404,365094,2187162,13759164,84389022,524422458,

%T 3236767200,20048681286,123951850866,767084787144,4744724741082,

%U 29355963846786,181601409572100,1123505977913586,6950462612268942

%N Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically

%C Row 6 of A208420

%H R. H. Hardin, <a href="/A208423/b208423.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +35*a(n-2) +18*a(n-3) -225*a(n-4) -67*a(n-5) +494*a(n-6) +85*a(n-7) -455*a(n-8) -40*a(n-9) +178*a(n-10) +6*a(n-11) -24*a(n-12)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2012