A202770 - OEIS

%I #5 Mar 31 2012 12:36:52

%S 86,201,424,833,1602,2981,5467,9909,17780,31747,56392,99857,176434,

%T 311122,548014,964321,1695678,2980281,5235910,9196219,16148555,

%U 28352217,49772670,87368483,153352196,269155679,472389610,829058262,1454991124

%N Number of (n+2)X3 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals

%C Column 1 of A202777

%H R. H. Hardin, <a href="/A202770/b202770.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 23 2011