A210177 - OEIS

%I #5 Mar 31 2012 12:37:32

%S 51,2316,79017,2563795,82255351,2632469015,84200356757,2692825679001,

%T 86117153792391,2754026796151627,88073648144059741,

%U 2816590158892560329,90074382683817260687,2880573249877838455779,92120555990382118611861

%N Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

%C Column 2 of A210183

%H R. H. Hardin, <a href="/A210177/b210177.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 39*a(n-1) -211*a(n-2) -523*a(n-3) +2954*a(n-4) -1030*a(n-5) -4272*a(n-6) +2096*a(n-7) -192*a(n-8)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 18 2012