%I #5 Mar 31 2012 12:37:10
%S 8304,329216,13173864,527945420,21162670972,848327900384,
%T 34006136221640,1363171550451384,54644142459882172,
%U 2190466837748368020,87807121912310588320,3519839010271451725584,141096375518760876476256
%N Number of (n+1)X4 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two
%C Column 3 of A206197
%H R. H. Hardin, <a href="/A206192/b206192.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 69*a(n-1) -1503*a(n-2) +16061*a(n-3) -100719*a(n-4) +413071*a(n-5) -1200419*a(n-6) +2350991*a(n-7) -2650016*a(n-8) +246039*a(n-9) +5103223*a(n-10) -8853227*a(n-11) +5015318*a(n-12) +4249674*a(n-13) -9106668*a(n-14) +7509128*a(n-15) -3026335*a(n-16) +952523*a(n-17) -1880226*a(n-18) -37992*a(n-19) -166501*a(n-20) -450312*a(n-21) -419109*a(n-22) +222765*a(n-23) +217432*a(n-24) -15270*a(n-25) +13404*a(n-26) +5852*a(n-27) +348*a(n-28) for n>29
%e Some solutions for n=4
%e ..2..3..3..0....1..1..2..0....1..0..2..1....2..1..1..2....1..3..3..3
%e ..1..2..0..2....3..2..0..3....0..1..0..2....0..3..2..0....3..2..1..0
%e ..3..1..1..3....0..3..1..0....2..2..1..3....3..0..3..2....0..3..2..1
%e ..0..3..2..0....1..0..2..1....0..3..2..0....1..3..2..3....2..0..3..2
%e ..3..0..3..1....3..2..3..2....1..0..3..1....2..0..3..2....2..1..0..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 04 2012
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