%I #8 Oct 08 2018 10:20:08
%S 96,1944,40392,842616,17587584,367125912,7663517136,159971190624,
%T 3339300422232,69705848287656,1455066835631064,30373627879088352,
%U 634030855481713176,13235005291610993904,276272619155126818272
%N Number of n X 6 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.
%H R. H. Hardin, <a href="/A233153/b233153.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 25*a(n-1) - 90*a(n-2) + 81*a(n-3).
%F Empirical g.f.: 24*x*(4 - 19*x + 18*x^2) / (1 - 25*x + 90*x^2 - 81*x^3). - _Colin Barker_, Oct 08 2018
%e Some solutions for n=3:
%e ..0..0..1..2..2..2....1..0..1..2..2..1....0..1..0..1..2..1....2..1..0..1..2..2
%e ..0..0..1..2..1..0....1..2..2..2..2..2....2..1..0..1..2..1....2..1..2..1..2..2
%e ..1..0..1..0..1..2....1..2..1..2..2..1....0..1..2..1..2..2....2..2..2..2..1..0
%Y Column 6 of A233155.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 05 2013