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A222125
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Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,2,1.
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1
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2, 3, 4, 8, 12, 19, 31, 49, 80, 128, 207, 334, 536, 866, 1394, 2247, 3622, 5834, 9404, 15151, 24416, 39346, 63400, 102169, 164633, 265296, 427507, 688891, 1110104, 1788845, 2882595, 4645091, 7485216, 12061886, 19436832, 31321030, 50471539
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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) = a(n-1) + a(n-3) + a(n-5) + 2*a(n-7) - a(n-8) - a(n-14) + a(n-15).
Empirical g.f.: x*(2 + x + x^2 + 2*x^3 + x^4 + x^5 + x^6 - 2*x^7 - x^10 - x^12 + x^14) / ((1 - x + x^2)*(1 - x^2 - 2*x^3 - x^4 + x^6 - x^7 - x^8 + x^10 + x^11 - x^13)). - Colin Barker, Aug 15 2018
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EXAMPLE
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Some solutions for n=7, one extended zero followed by filtered positions:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....0....1....0....0....1....0....1....0....1....1....0....1....0....1
..0....0....0....0....0....1....0....0....0....1....0....0....0....0....1....0
..0....0....1....0....0....0....1....0....1....0....0....1....1....0....0....0
..0....0....0....1....0....1....0....1....0....0....0....0....0....1....0....0
..0....1....0....0....0....0....0....0....0....0....1....0....0....0....1....0
..1....0....1....1....0....0....0....1....1....1....0....0....0....0....0....0
..0....0....0....0....1....0....1....0....0....0....1....0....1....0....0....1
..0....0....0....0....0....0....0....0....0....0....0....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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