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A202595
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Number of (n+2) X 4 binary arrays avoiding patterns 001 and 000 in rows and columns.
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1
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510, 3150, 18160, 107510, 629790, 3704980, 21758550, 127872530, 751278240, 4414434310, 25937520830, 152401930300, 895465610130, 5261491036130, 30914921038320, 181646780968570, 1067301604632450, 6271142423909740
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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) +22*a(n-2) +12*a(n-3) -43*a(n-4) -8*a(n-5) +18*a(n-6) -a(n-8).
Empirical g.f.: 10*x*(51 + 213*x + 64*x^2 - 423*x^3 - 62*x^4 + 179*x^5 - x^6 - 10*x^7) / (1 - 2*x - 22*x^2 - 12*x^3 + 43*x^4 + 8*x^5 - 18*x^6 + x^8). - Colin Barker, Jun 01 2018
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EXAMPLE
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Some solutions for n=3:
..0..1..1..1....1..1..0..1....1..0..1..1....0..1..1..0....1..1..1..1
..1..1..0..0....1..1..1..1....0..1..1..1....1..0..1..1....1..1..0..0
..1..1..1..1....1..1..0..0....1..0..1..0....1..1..0..1....1..0..1..1
..1..1..0..1....1..1..1..1....0..1..0..1....1..1..1..0....0..1..1..1
..1..1..0..1....0..1..1..1....1..0..1..0....1..1..1..1....0..1..1..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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