A207237 - OEIS

%I #5 Mar 31 2012 12:37:16

%S 6,36,102,287,882,2491,6759,18528,50244,134284,357919,951428,2517507,

%T 6644999,17514496,46087746,121122382,318060011,834615854,2188807497,

%U 5737757291,15035923244,39391026514,103174230894,270192214787

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

%C Column 3 of A207242

%H R. H. Hardin, <a href="/A207237/b207237.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012