A207421 - OEIS

%I #5 Mar 31 2012 12:37:17

%S 6,36,114,351,1162,3633,11067,33994,103972,315900,959469,2913192,

%T 8833205,26769585,81116398,245729000,744251550,2253989395,6825832650,

%U 20669704173,62589261963,189520870122,573861525576,1737611142984,5261327251049

%N Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically

%C Column 3 of A207426

%H R. H. Hardin, <a href="/A207421/b207421.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -4*a(n-2) +13*a(n-3) -30*a(n-4) +3*a(n-5) -29*a(n-6) +50*a(n-7) +56*a(n-8) +28*a(n-9) -34*a(n-10) -76*a(n-11) -42*a(n-12) +14*a(n-13) +35*a(n-14) +20*a(n-15) +4*a(n-16) -7*a(n-17) -2*a(n-18) -a(n-19) -a(n-20)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 17 2012