A189690 - OEIS

%I #5 Mar 31 2012 12:36:16

%S 8,64,292,1298,5172,20316,77752,295720,1117080,4209924,15835990,

%T 59521532,223600028,839772726,3153450118,11840705184,44458053838,

%U 166922053694,626717259422,2353026409758,8834468527674,33169066709822,124533341936372

%N Number of nX3 binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally

%C Column 3 of A189696

%H R. H. Hardin, <a href="/A189690/b189690.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 7*a(n-1) -9*a(n-2) -31*a(n-3) +76*a(n-4) +22*a(n-5) -173*a(n-6) +69*a(n-7) +151*a(n-8) -111*a(n-9) -48*a(n-10) +52*a(n-11) +4*a(n-12) -8*a(n-13)

%e Some solutions for 4X3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 25 2011