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A250329
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Number of length n+5 0..1 arrays with every six consecutive terms having the maximum of some three terms equal to the minimum of the remaining three terms.
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1
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44, 68, 108, 172, 272, 424, 648, 996, 1544, 2404, 3746, 5830, 9048, 14024, 21746, 33754, 52426, 81432, 126454, 196308, 304706, 472986, 734300, 1140068, 1770064, 2748096, 4266370, 6623360, 10282584, 15963684, 24783794, 38477102, 59735816
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = a(n-1) + a(n-3) + 2*a(n-6) - 2*a(n-9) - a(n-10) - a(n-12) + a(n-15).
Empirical g.f.: 2*x*(22 + 12*x + 20*x^2 + 10*x^3 + 16*x^4 + 22*x^5 - 18*x^6 - 30*x^7 - 46*x^8 - 22*x^9 - 9*x^10 - 12*x^11 + 7*x^12 + 11*x^13 + 16*x^14) / ((1 - x)*(1 + x + x^2)*(1 - x - x^4 - 2*x^6 - x^7 + x^12)). - Colin Barker, Nov 12 2018
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EXAMPLE
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Some solutions for n=6:
..1....0....0....0....0....1....0....1....1....1....1....1....1....0....1....1
..0....1....1....1....0....0....1....0....1....1....0....0....1....0....1....0
..1....1....1....1....1....1....1....1....0....1....1....0....1....0....0....0
..1....0....1....1....1....1....1....1....1....0....1....1....1....0....0....0
..1....0....0....0....0....1....1....1....1....0....1....1....1....0....0....1
..1....0....1....1....0....1....1....1....1....1....1....1....1....0....0....0
..1....0....1....1....0....0....0....1....0....1....0....1....0....1....1....0
..1....0....1....0....0....1....1....1....1....1....1....1....1....0....0....0
..1....0....1....1....1....0....0....0....0....1....1....0....1....1....0....0
..1....1....1....1....0....1....1....0....1....1....1....1....1....0....0....0
..0....0....1....0....0....1....1....1....1....1....0....0....0....0....0....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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