A203348 - OEIS

%I #5 Mar 31 2012 12:36:56

%S 80,244,702,2062,6032,17614,51482,150462,439760,1285280,3756472,

%T 10979006,32088238,93784004,274101634,801114300,2341409322,6843215284,

%U 20000601752,58455572974,170847560198,499334577370,1459400531498,4265376378604

%N Number of (n+2)X3 binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals

%C Column 1 of A203355

%H R. H. Hardin, <a href="/A203348/b203348.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 31 2011