A202095 - OEIS

%I #5 Mar 31 2012 12:36:46

%S 720,3600,12000,40000,105000,275625,617400,1382976,2765952,5531904,

%T 10160640,18662400,32076000,55130625,89842500,146410000,228399600,

%U 356303376,535927392,806105664,1175570760,1714374025,2434614000

%N Number of (n+2)X5 binary arrays avoiding patterns 001 and 011 in rows and columns

%C Column 3 of A202100

%H R. H. Hardin, <a href="/A202095/b202095.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +8*a(n-2) -18*a(n-3) -27*a(n-4) +72*a(n-5) +48*a(n-6) -168*a(n-7) -42*a(n-8) +252*a(n-9) -252*a(n-11) +42*a(n-12) +168*a(n-13) -48*a(n-14) -72*a(n-15) +27*a(n-16) +18*a(n-17) -8*a(n-18) -2*a(n-19) +a(n-20)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 11 2011