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%I #7 Mar 20 2022 23:39:17
%S 110,1030,9688,95564,946066,9502090,96151010,982430426,10112195016,
%T 104859909328,1094042468862,11478802373122,121006212428726,
%U 1280887123146782,13605620542741848,144946618170994884
%N Number of 3 X (n+1) 0..3 arrays with every 2 X 2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.
%C Row 2 of A205609.
%H R. H. Hardin, <a href="/A205610/b205610.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) +31*a(n-2) -1380*a(n-3) +24*a(n-4) +37716*a(n-5) +28069*a(n-6) -327857*a(n-7) -359875*a(n-8) +1111408*a(n-9) +1460528*a(n-10) -1281648*a(n-11) -2003792*a(n-12) +11264*a(n-13) +365568*a(n-14).
%e Some solutions for n=4
%e ..0..1..2..0..3....0..0..0..0..1....0..1..1..0..0....0..0..0..1..1
%e ..3..0..1..2..1....0..1..1..0..0....0..0..1..0..1....0..1..1..1..2
%e ..2..2..1..0..0....3..3..2..2..3....1..2..1..2..1....2..2..3..0..0
%Y Cf. A205609.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 29 2012
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