A207947 - OEIS

%I #5 Mar 31 2012 12:37:20

%S 16,256,1296,8836,55696,362404,2334784,15069924,97180164,626901444,

%T 4043942464,26086772196,168278807524,1085522269456,7002416779264,

%U 45170765646400,291384831720004,1879647527429604,12125115459266404

%N Number of nX6 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically

%C Column 6 of A207949

%H R. H. Hardin, <a href="/A207947/b207947.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +7*a(n-2) +a(n-3) +76*a(n-4) +105*a(n-5) -4*a(n-6) -115*a(n-7) -119*a(n-8) +a(n-9) +29*a(n-10) +41*a(n-11) -8*a(n-12) -4*a(n-14) +a(n-15)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 21 2012