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%I #6 Mar 31 2012 12:36:02
%S 0,580,2366,22236,118616,891506,5489048,38326452,247830606,1678338746,
%T 11045857798,73974786560,490178170074,3269292086024,21718260697050,
%U 144628225929208,961688652955234,6400460897406340,42574178108712958
%N Number of (n+1)X2 0..3 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant
%C Column 1 of A185609
%H R. H. Hardin, <a href="/A185605/b185605.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=10*a(n-1)-6*a(n-2)-197*a(n-3)+652*a(n-4)+68*a(n-5)-4460*a(n-6)+9172*a(n-7)-2564*a(n-8)-12176*a(n-9)+34398*a(n-10)-101637*a(n-11)+116495*a(n-12)+54653*a(n-13)-228940*a(n-14)+430952*a(n-15)-746674*a(n-16)+637912*a(n-17)+95538*a(n-18)-1125709*a(n-19)+2119961*a(n-20)-2867650*a(n-21)+2135142*a(n-22)+628180*a(n-23)-2741051*a(n-24)+3448532*a(n-25)-2105927*a(n-26)+61752*a(n-27)+756653*a(n-28)-607098*a(n-29)-875751*a(n-30)+882731*a(n-31)-276007*a(n-32)-379574*a(n-33)+211346*a(n-34)+16316*a(n-35)-52955*a(n-36)+8160*a(n-37)+2952*a(n-38)+864*a(n-39) for n>40
%e Some solutions for 3X2
%e ..3..3....2..0....3..2....2..0....3..1....3..1....2..0....0..1....1..1....3..2
%e ..0..0....2..0....3..2....0..0....3..2....0..0....0..0....0..2....0..0....3..1
%e ..2..0....2..0....3..2....3..2....0..1....3..0....3..1....0..1....0..0....3..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Jan 31 2011
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