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%I #5 Mar 31 2012 12:36:11
%S 24,128,664,3036,14832,71888,348728,1694376,8227500,39976476,
%T 194234820,943833852,4586483788,22288261956,108312977948,526368362348,
%U 2558010734684,12431317914584,60413417049308,293596320376924
%N Number of (n+1)X3 binary arrays with every 2X2 subblock sum equal to exactly one or two horizontal and vertical neighbor 2X2 subblock sums
%C Column 2 of A188311
%H R. H. Hardin, <a href="/A188304/b188304.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=a(n-1)+17*a(n-2)+32*a(n-3)+2*a(n-4)-284*a(n-5)-1025*a(n-6)-1715*a(n-7)-1309*a(n-8)+3270*a(n-9)+15670*a(n-10)+33291*a(n-11)+51546*a(n-12)+61522*a(n-13)+46152*a(n-14)+54466*a(n-15)+141786*a(n-16)+299077*a(n-17)+512525*a(n-18)+124327*a(n-19)-1622071*a(n-20)-5412149*a(n-21)-11353672*a(n-22)-16599218*a(n-23)-16801594*a(n-24)-5985596*a(n-25)+18904065*a(n-26)+52984881*a(n-27)+82457676*a(n-28)+85772060*a(n-29)+47094373*a(n-30)-30021951*a(n-31)-116777988*a(n-32)-166409526*a(n-33)-146890040*a(n-34)-57288128*a(n-35)+57683368*a(n-36)+139661440*a(n-37)+157703584*a(n-38)+94438048*a(n-39)+8689664*a(n-40)-68850816*a(n-41)-91959296*a(n-42)-59136512*a(n-43)-26745856*a(n-44)+23861248*a(n-45)+29249536*a(n-46)+28721152*a(n-47)+3801088*a(n-48)-9109504*a(n-49)+9699328*a(n-50)-14680064*a(n-51)-3145728*a(n-52)+4194304*a(n-53)
%e Some solutions for 5X3
%e ..1..0..0....0..0..0....0..1..1....0..0..0....1..0..1....1..1..0....0..1..0
%e ..1..1..0....0..1..0....1..0..0....1..0..1....0..0..0....0..1..1....1..0..1
%e ..1..0..0....1..1..1....1..1..1....0..1..1....1..1..0....1..1..1....0..0..0
%e ..0..0..1....1..1..1....0..1..1....1..0..1....0..0..0....0..1..1....0..1..0
%e ..1..1..0....0..1..0....1..1..1....1..1..1....1..1..0....1..1..1....1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 27 2011
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