A205469 - OEIS

%I #5 Mar 31 2012 12:37:06

%S 48,263,1548,9654,61978,405702,2686876,17926060,120146998,807610262,

%T 5438698312,36669657896,247432193154,1670424338586,11280890946852,

%U 76200323465372,514795456961870,3478208969481038,23502035785763264

%N Number of (n+1)X3 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order

%C Column 2 of A205475

%H R. H. Hardin, <a href="/A205469/b205469.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -85*a(n-2) +142*a(n-3) +159*a(n-4) -676*a(n-5) +465*a(n-6) +298*a(n-7) -506*a(n-8) +220*a(n-9) -32*a(n-10)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 27 2012