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A202098
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Number of (n+2)X8 binary arrays avoiding patterns 001 and 011 in rows and columns
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2
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5625, 50625, 275625, 1500625, 6002500, 24010000, 77792400, 252047376, 700131600, 1944810000, 4802490000, 11859210000, 26683222500, 60037250625, 125262905625, 261351000625, 512247961225, 1004006004001, 1866953313225, 3471607400625
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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) = 2*a(n-1) +14*a(n-2) -30*a(n-3) -90*a(n-4) +210*a(n-5) +350*a(n-6) -910*a(n-7) -910*a(n-8) +2730*a(n-9) +1638*a(n-10) -6006*a(n-11) -2002*a(n-12) +10010*a(n-13) +1430*a(n-14) -12870*a(n-15) +12870*a(n-17) -1430*a(n-18) -10010*a(n-19) +2002*a(n-20) +6006*a(n-21) -1638*a(n-22) -2730*a(n-23) +910*a(n-24) +910*a(n-25) -350*a(n-26) -210*a(n-27) +90*a(n-28) +30*a(n-29) -14*a(n-30) -2*a(n-31) +a(n-32)
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EXAMPLE
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Some solutions for n=2
..1..1..1..0..1..0..1..0....1..1..1..1..1..1..0..1....1..1..1..1..1..1..0..1
..1..1..1..0..1..0..0..0....1..1..1..1..1..0..0..0....1..1..1..1..1..1..0..1
..1..1..1..0..1..0..1..0....1..1..1..1..0..1..0..0....0..1..0..0..0..0..0..0
..0..1..0..0..0..0..0..0....1..1..1..0..0..0..0..0....1..1..1..0..0..0..0..0
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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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