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A241330 Number of 3Xn 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order.

%I A241330 #6 Jul 23 2025 11:12:42
%S A241330 5,85,2344,68935,2034543,60066019,1773370241,52356524981,
%T A241330 1545760698649,45636645554004,1347364712395962,39779252976746762,
%U A241330 1174432544392935470,34673647645893709738,1023695951556996550068,30223338828856554979455
%N A241330 Number of 3Xn 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order.
%C A241330 Row 3 of A241328
%H A241330 R. H. Hardin, <a href="/A241330/b241330.txt">Table of n, a(n) for n = 1..210</a>
%F A241330 Empirical: a(n) = 31*a(n-1) -26*a(n-2) -530*a(n-3) +271*a(n-4) +1431*a(n-5) +437*a(n-6) +157*a(n-7) -438*a(n-8) -846*a(n-9) -243*a(n-10) -243*a(n-11) for n>13
%e A241330 Some solutions for n=4
%e A241330 ..0..1..0..2....0..1..2..1....0..1..2..1....0..1..0..1....0..1..2..3
%e A241330 ..0..1..1..2....3..1..3..2....3..0..3..0....2..3..1..1....1..1..3..2
%e A241330 ..1..3..1..0....1..0..3..1....0..2..1..3....1..3..1..0....1..0..1..3
%K A241330 nonn
%O A241330 1,1
%A A241330 _R. H. Hardin_, Apr 19 2014