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%I #8 May 12 2014 13:16:47
%S 0,30,2358,149664,9244260,570014364,35145166536,2166884610178,
%T 133599701455066,8237117244715336,507861167171544622,
%U 31312285224055745412,1930565417393375534896,119029409843545688217042
%N Number of n X 6 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 6 of A230614.
%H R. H. Hardin, <a href="/A230612/b230612.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 90*a(n-1) -2087*a(n-2) +23650*a(n-3) -186609*a(n-4) +1238997*a(n-5) -5797034*a(n-6) +14474146*a(n-7) -21672514*a(n-8) +76834323*a(n-9) -197364772*a(n-10) +62281406*a(n-11) +78017941*a(n-12) -11809013*a(n-13) -84977929*a(n-14) +101237479*a(n-15) -26268249*a(n-16) +11138532*a(n-17) -1929904*a(n-18) +758920*a(n-19) -244648*a(n-20) +26736*a(n-21) -900*a(n-22) for n>23.
%e Some solutions for n=4:
%e ..0..1..0..2..0..1....0..1..0..2..1..0....0..1..1..2..0..1....0..1..1..2..0..2
%e ..2..0..1..0..2..1....2..0..1..2..1..0....2..0..0..1..2..1....2..0..1..1..1..0
%e ..2..1..1..1..2..0....2..2..0..1..0..2....0..1..2..0..0..2....0..1..2..0..2..2
%e ..0..2..0..2..1..0....1..0..2..0..1..0....0..2..1..2..1..0....0..2..1..1..0..2
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 25 2013
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