A230186 - OEIS

%I #4 Oct 11 2013 08:06:10

%S 0,33,231,3411,44487,596973,7957785,106248147,1418070843,18928121865,

%T 252644742093,3372208415751,45010959441111,600789299156241,

%U 8019108619691037,107036033204372163,1428676544542445175

%N Number of 3Xn 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value 2-x(i,j)

%C Row 3 of A230184

%H R. H. Hardin, <a href="/A230186/b230186.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +59*a(n-2) +17*a(n-3) -361*a(n-4) -569*a(n-5) +530*a(n-6) +2304*a(n-7) +1442*a(n-8) -3272*a(n-9) -5911*a(n-10) -927*a(n-11) +5899*a(n-12) +3415*a(n-13) +293*a(n-14) -3915*a(n-15) -688*a(n-16) +770*a(n-17) +146*a(n-18) +984*a(n-19) -112*a(n-20) +176*a(n-21) for n>23

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 11 2013