A204344 - OEIS

%I #5 Mar 31 2012 12:37:01

%S 9672,540324,30378276,1708802980,96125591660,5407387617220,

%T 304183813284988,17111367047366980,962572201416127452,

%U 54147938064056337924,3046004437189115857116,171348039521073113161540

%N Number of (n+2)X3 0..3 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 1 of A204351

%H R. H. Hardin, <a href="/A204344/b204344.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 62*a(n-1) -285*a(n-2) -2404*a(n-3) +14308*a(n-4) -9048*a(n-5) -23940*a(n-6) +27216*a(n-7) -7056*a(n-8)

%e Some solutions for n=3

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

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

%e ..1..0..1....0..1..1....2..0..1....1..0..1....1..1..1....1..0..2....2..0..3

%e ..1..2..2....1..0..0....2..1..1....1..0..1....2..1..2....2..1..1....1..2..0

%e ..1..1..3....0..1..1....3..1..0....2..1..1....3..0..2....2..2..0....2..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012