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%I #5 Mar 31 2012 12:37:09
%S 2136,12304,33572,211824,566288,3844878,10015204,72882376,184281412,
%T 1429092252,3503416892,28746962046,68400079832,589318256362,
%U 1364400638604,12250849422816,27688353774584,257303980884418
%N Number of (n+1)X6 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to one, and every 2X2 determinant nonzero
%C Column 5 of A206010
%H R. H. Hardin, <a href="/A206007/b206007.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 164*a(n-2) -12476*a(n-4) +585148*a(n-6) -18969092*a(n-8) +451611112*a(n-10) -8190280543*a(n-12) +115840500148*a(n-14) -1297796212524*a(n-16) +11636077109568*a(n-18) -84046878051360*a(n-20) +490938478405232*a(n-22) -2323179214444607*a(n-24) +8905940073527580*a(n-26) -27608686922699724*a(n-28) +68932456482316032*a(n-30) -137542051160082324*a(n-32) +216042155055337272*a(n-34) -258785650934882237*a(n-36) +217934459268105772*a(n-38) -91407840400253580*a(n-40) -59251485033120380*a(n-42) +153874632100815864*a(n-44) -159455241712666896*a(n-46) +106418956478645532*a(n-48) -47120836797437152*a(n-50) +11341651410829760*a(n-52) +1121752277991232*a(n-54) -2336969544836224*a(n-56) +1100999738775552*a(n-58) -308227751799552*a(n-60) +55643719481856*a(n-62) -6125302259712*a(n-64) +318823464960*a(n-66) for n>70
%e Some solutions for n=4
%e ..1..1..2..1..1..1....0..1..1..0..2..2....0..2..2..2..0..2....2..1..0..2..1..2
%e ..1..2..2..2..1..0....1..1..2..2..2..0....2..2..0..2..2..2....2..2..2..2..2..2
%e ..1..1..2..1..1..1....1..2..2..1..2..2....1..2..2..2..1..2....0..1..2..1..2..1
%e ..2..1..1..1..2..1....1..1..2..2..2..1....2..2..0..2..2..2....1..1..1..1..1..1
%e ..2..2..0..1..1..1....0..1..1..2..0..1....0..2..2..2..1..2....2..0..1..2..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 02 2012
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