A206996 - OEIS

%I #5 Mar 31 2012 12:37:14

%S 12,144,1011,6612,38144,211471,1124120,5856490,29993573,152063662,

%T 764940884,3828258995,19086321346,94907855054,471032090907,

%U 2334592278836,11559687446670,57197509727715,282871139080418,1398435823681688

%N Number of nX4 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically

%C Column 4 of A207000

%H R. H. Hardin, <a href="/A206996/b206996.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -18*a(n-2) -96*a(n-3) +314*a(n-4) +205*a(n-5) -1435*a(n-6) +363*a(n-7) +2647*a(n-8) -1601*a(n-9) -2021*a(n-10) +1517*a(n-11) +728*a(n-12) -593*a(n-13) -121*a(n-14) +101*a(n-15) +7*a(n-16) -6*a(n-17)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 14 2012