A207414 - OEIS

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

%S 6,36,92,241,720,1889,4719,12102,30414,74588,182737,445468,1075185,

%T 2583413,6187826,14753420,35052328,83069841,196345572,462972905,

%U 1089545883,2559508250,6002666694,14057272936,32876868289,76799290072

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

%C Column 3 of A207419

%H R. H. Hardin, <a href="/A207414/b207414.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -4*a(n-2) +7*a(n-3) -21*a(n-4) +7*a(n-5) -a(n-6) +33*a(n-7) +7*a(n-8) -13*a(n-9) -35*a(n-10) -7*a(n-11) +9*a(n-12) +17*a(n-13) +4*a(n-14) -3*a(n-15) -3*a(n-16)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 17 2012