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%I #5 Mar 31 2012 12:36:04
%S 3888,107874,3090564,88110594,2513594016,71683161894,2044563391476,
%T 58311925687818,1663128694130598,47433932055670734,
%U 1352865880643114214,38585070116572714902,1100485517204049090894,31386952148587046019792
%N Number of (n+1)X4 0..2 arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace
%C Column 3 of A186141
%H R. H. Hardin, <a href="/A186135/b186135.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=8*a(n-1)+551*a(n-2)+2092*a(n-3)-29959*a(n-4)-80288*a(n-5)+807333*a(n-6)+327072*a(n-7)-9377682*a(n-8)+9809631*a(n-9)+37995967*a(n-10)-77988412*a(n-11)-25468024*a(n-12)+142020278*a(n-13)-6381828*a(n-14)-124693659*a(n-15)-23375996*a(n-16)+64568471*a(n-17)+52421184*a(n-18)-6894001*a(n-19)-26781500*a(n-20)-12165465*a(n-21)+158720*a(n-22)+3261613*a(n-23)+1589010*a(n-24)+560063*a(n-25)+355508*a(n-26)+79536*a(n-27)+6024*a(n-28)+5184*a(n-29) for n>30
%e Some solutions for 3X4
%e ..1..1..2..0....1..1..0..1....0..0..2..0....1..2..0..2....2..0..0..1
%e ..1..1..0..1....1..1..0..2....0..2..0..0....0..1..1..0....1..1..0..2
%e ..2..0..2..1....1..2..1..0....0..0..1..0....0..0..0..1....1..1..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 13 2011
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