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%I #5 Mar 31 2012 12:36:34
%S 43,1765,50729,1660672,56315642,1930887802,66941645630,2331298473193,
%T 81407459944121,2846734759084627,99622031525717855,
%U 3487698946608204322,122128077706715335280,4277023178407978272400,149793878862653254021508
%N Number of 2nX4 0..3 arrays with values 0..3 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors
%C Column 2 of A198209
%H R. H. Hardin, <a href="/A198206/b198206.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 65*a(n-1) -1221*a(n-2) +4909*a(n-3) +38995*a(n-4) +97941*a(n-5) -5336901*a(n-6) +24513309*a(n-7) -24792291*a(n-8) +22615443*a(n-9) +29343465*a(n-10) -1299185649*a(n-11) +509455089*a(n-12) +6460607223*a(n-13) -508707135*a(n-14) -5208653241*a(n-15)
%e Some solutions for n=3
%e ..0..1..1..0....0..1..1..0....0..1..0..2....0..1..1..2....0..1..2..0
%e ..2..2..2..2....2..0..0..2....2..1..0..1....2..3..3..1....3..1..2..2
%e ..3..3..3..3....2..0..0..2....2..1..0..1....2..3..3..1....3..1..1..1
%e ..2..2..2..2....3..3..3..0....0..1..0..0....0..1..1..2....0..0..0..0
%e ..1..1..1..1....2..2..3..0....0..1..1..1....0..1..1..2....2..2..1..1
%e ..0..2..2..3....1..2..3..2....3..0..0..2....1..0..0..1....0..2..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 22 2011
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