A188846 - OEIS

%I #5 Mar 31 2012 12:36:14

%S 12,144,908,5711,32204,181557,1001368,5521489,30306759,166323490,

%T 911899467,4999341631,27402344925,150194353126,823189068247,

%U 4511728088822,24727593668449,135525199872089,742775009335794

%N Number of nX4 binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally

%C Column 4 of A188851

%H R. H. Hardin, <a href="/A188846/b188846.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) +28*a(n-2) -6*a(n-3) -237*a(n-4) -150*a(n-5) +757*a(n-6) +891*a(n-7) -942*a(n-8) -1844*a(n-9) +173*a(n-10) +1695*a(n-11) +562*a(n-12) -619*a(n-13) -422*a(n-14) +78*a(n-16) +31*a(n-17) +4*a(n-18)

%e Some solutions for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 12 2011