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%I #5 Mar 31 2012 12:36:03
%S 171,1773,20097,222003,2506851,28276065,319126401,3601102725,
%T 40637462859,458593005339,5175210065355,58401927953289,
%U 659062151345205,7437478883246883,83931531974296659,947162573247121263
%N Number of (n+1)X3 0..2 arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace
%C Column 2 of A185845
%H R. H. Hardin, <a href="/A185838/b185838.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=16*a(n-1)-81*a(n-2)+354*a(n-3)-423*a(n-4)-1212*a(n-5)+11545*a(n-6)-26105*a(n-7)+39610*a(n-8)-45245*a(n-9)+44999*a(n-10)-392268*a(n-11)+783566*a(n-12)-3468627*a(n-13)+6420741*a(n-14)-6371674*a(n-15)+3563213*a(n-16)+9619160*a(n-17)-4795228*a(n-18)+26611700*a(n-19)-73660858*a(n-20)+21692189*a(n-21)-69651145*a(n-22)+122552900*a(n-23)+38894274*a(n-24)+38755104*a(n-25)-143115104*a(n-26)-47053152*a(n-27)+38096928*a(n-28)+80391744*a(n-29)-23458176*a(n-30)-26341632*a(n-31)+12151296*a(n-32)-1354752*a(n-33)
%e Some solutions for 5X3
%e ..2..1..0....0..0..2....1..1..0....2..1..0....1..0..2....1..1..0....1..0..0
%e ..2..1..2....0..0..0....2..1..2....1..1..2....0..1..2....2..2..2....0..1..2
%e ..1..1..1....2..0..2....2..0..2....0..2..2....0..2..1....2..2..2....2..2..2
%e ..0..1..1....1..0..2....2..0..1....2..2..2....2..2..0....2..2..2....0..1..1
%e ..0..1..0....1..0..1....0..0..1....2..0..2....0..0..0....2..2..2....2..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 05 2011
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