%I #6 Oct 27 2013 09:59:38
%S 0,2,30,348,3956,44916,509978,5790456,65747178,746521190,8476319172,
%T 96243740012,1092792451740,12408031373682,140886078048560,
%U 1599680593324818,18163455439700846,206235616589902956
%N Number of nX4 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero
%C Column 4 of A230614
%H R. H. Hardin, <a href="/A230610/b230610.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) -45*a(n-2) +42*a(n-3) -12*a(n-4) +a(n-5).
%F Empirical: G.f. -2*x^2*(1-6*x^2+x^3) / ( (x-1)*(x^4-11*x^3+31*x^2-14*x+1) ). - _R. J. Mathar_, Oct 27 2013
%e Some solutions for n=4
%e ..0..1..2..0....0..1..2..1....0..1..0..2....0..1..2..1....0..1..2..1
%e ..0..0..1..2....2..0..1..0....2..0..1..0....0..0..1..2....0..0..0..0
%e ..2..1..0..2....2..2..0..1....2..1..0..2....2..1..0..2....1..2..1..0
%e ..0..0..1..0....1..0..2..1....0..0..1..0....2..0..1..0....1..1..2..1
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 25 2013
|