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%I #5 Mar 31 2012 12:37:09
%S 7041,180195,4256868,99399924,2308027074,53518920690,1240395191991,
%T 28744156779339,666068301911073,15434109289329492,357636968027315673,
%U 8287100648523035178,192027148023559498374,4449616587549453480153
%N Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to one
%C Column 4 of A206054
%H R. H. Hardin, <a href="/A206050/b206050.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 36*a(n-1) -219*a(n-2) -3422*a(n-3) +37851*a(n-4) +59870*a(n-5) -1891840*a(n-6) +2993871*a(n-7) +43489357*a(n-8) -153973777*a(n-9) -448171340*a(n-10) +2886518872*a(n-11) +614484491*a(n-12) -27988642084*a(n-13) +30796257251*a(n-14) +149763089102*a(n-15) -329125675452*a(n-16) -403599878248*a(n-17) +1689166897434*a(n-18) +86297883518*a(n-19) -5122702486325*a(n-20) +3208152883621*a(n-21) +9229930244915*a(n-22) -11507913803738*a(n-23) -8249392965144*a(n-24) +20351491472398*a(n-25) -424045644155*a(n-26) -22701658457583*a(n-27) +11970329458650*a(n-28) +16509522154114*a(n-29) -18881474957145*a(n-30) -3600030294956*a(n-31) +12424769263635*a(n-32) -2684697625456*a(n-33) -3144213018500*a(n-34) +1567428910588*a(n-35) -98343947326*a(n-36) -91221023071*a(n-37) +96482807144*a(n-38) -52729523588*a(n-39) +9525869652*a(n-40) +885701841*a(n-41) -443275303*a(n-42) -66107024*a(n-43) +22913140*a(n-44) -2873160*a(n-45)
%e Some solutions for n=4
%e ..0..1..0..2..2....0..2..1..2..2....2..1..0..2..1....2..0..0..1..2
%e ..0..1..2..2..1....2..2..1..1..1....2..2..2..2..0....2..0..1..1..1
%e ..1..1..1..1..1....1..1..1..0..0....1..1..1..2..0....0..0..0..0..0
%e ..1..2..2..2..1....1..2..1..0..2....0..0..1..2..2....0..1..2..2..2
%e ..1..1..1..1..1....1..2..1..1..1....0..1..1..2..0....0..1..1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 03 2012
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