A184666 - OEIS

%I #5 Mar 31 2012 12:36:00

%S 1740,67330,2405797,88458672,3225439429,117938741095,4308670152724,

%T 157454260497016,5753418267657560,210237556594325891,

%U 7682287249431007868,280719194120503850605,10257776899125672523995,374830158857789457998588

%N Number of (n+1)X3 0..3 arrays with no 2X2 subblock summing to less than 6

%C Column 2 of A184673

%H R. H. Hardin, <a href="/A184666/b184666.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=33*a(n-1)+254*a(n-2)-4528*a(n-3)-4583*a(n-4)+136276*a(n-5)-51684*a(n-6)-1465238*a(n-7)+1162805*a(n-8)+7140128*a(n-9)-6753172*a(n-10)-16991713*a(n-11)+16867228*a(n-12)+20582754*a(n-13)-20497813*a(n-14)-13213038*a(n-15)+12962168*a(n-16)+4464952*a(n-17)-4283552*a(n-18)-731808*a(n-19)+687168*a(n-20)+44928*a(n-21)-41472*a(n-22)

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 19 2011