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A187722
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Number of (n+1)X3 binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors
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1
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43, 174, 689, 2804, 11324, 46003, 186672, 758077, 3077859, 12497826, 50746523, 206054545, 836678679, 3397305868, 13794653865, 56012764479, 227438082864, 923505221937, 3749864236851, 15226206788800, 61825538083188
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n)=9*a(n-2)+31*a(n-3)+24*a(n-4)-60*a(n-5)-167*a(n-6)-146*a(n-7)+80*a(n-8)+321*a(n-9)+368*a(n-10)+29*a(n-11)-621*a(n-12)-250*a(n-13)+210*a(n-14)+167*a(n-15)+275*a(n-16)-76*a(n-17)-88*a(n-18)-54*a(n-19)-41*a(n-20)-16*a(n-21)+21*a(n-22)+14*a(n-23)-5*a(n-24)+a(n-25)+2*a(n-26)-a(n-27) for n>28
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EXAMPLE
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Some solutions for 5X3
..0..1..1....0..1..0....1..1..1....1..0..1....0..1..0....1..1..1....0..0..1
..1..1..1....1..0..0....1..0..1....0..0..1....1..0..0....0..0..1....0..1..0
..0..0..1....1..1..1....1..0..1....1..0..0....1..1..1....0..1..1....1..1..1
..0..1..1....0..0..1....1..1..1....1..0..1....1..1..0....1..0..1....1..0..0
..1..0..1....1..1..0....0..1..1....1..1..0....1..0..0....1..1..0....1..1..1
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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