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%I #4 Jun 19 2013 06:15:19
%S 23,417,4722,49481,541932,6076168,67929575,756046291,8410591772,
%T 93621762980,1042359550109,11604658170466,129189416900910,
%U 1438207535407221,16011038102586917,178245305692614279
%N Number of nX3 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X4 binary array
%C Column 3 of A226852
%H R. H. Hardin, <a href="/A226847/b226847.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) -92*a(n-2) +359*a(n-3) -624*a(n-4) -959*a(n-5) +2737*a(n-6) -2958*a(n-7) -938*a(n-8) +66388*a(n-9) -67900*a(n-10) -140434*a(n-11) +131391*a(n-12) -645340*a(n-13) +1133860*a(n-14) +1036669*a(n-15) -2316284*a(n-16) +3279904*a(n-17) -3262068*a(n-18) -2519280*a(n-19) +5038476*a(n-20) -6539454*a(n-21) +1469332*a(n-22) +740322*a(n-23) +3347439*a(n-24) -7074675*a(n-25) +4010755*a(n-26) +11971008*a(n-27) -5357559*a(n-28) +23304510*a(n-29) +1087226*a(n-30) +208139*a(n-31) +12571537*a(n-32) +1328202*a(n-33) +5790159*a(n-34) +2846511*a(n-35) +11035875*a(n-36) -7395133*a(n-37) +10044100*a(n-38) +13119590*a(n-39) -3462354*a(n-40) +11820094*a(n-41) +4914425*a(n-42) +2025246*a(n-43) +824620*a(n-44) +3582164*a(n-45) -307136*a(n-46) +663570*a(n-47) +619240*a(n-48) -168452*a(n-49) -17568*a(n-50) +2048*a(n-51)
%e Some solutions for n=3
%e ..1..2..2....1..2..2....0..2..1....0..1..1....1..1..1....0..0..0....1..1..1
%e ..2..2..1....1..2..1....0..2..1....0..0..0....2..2..0....2..1..0....1..1..1
%e ..2..1..1....0..0..0....1..2..0....0..0..1....2..1..0....0..0..0....0..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jun 19 2013
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