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A222124
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Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 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, 48, 79, 126, 201, 323, 516, 827, 1324, 2120, 3396, 5436, 8706, 13940, 22323, 35748, 57240, 91661, 146778, 235035, 376367, 602677, 965074, 1545383, 2474634, 3962658, 6345442, 10161019, 16270937, 26054807, 41721820
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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) + a(n-8) + a(n-10) + 2*a(n-12) - a(n-13).
Empirical g.f.: x*(1 + x + x^2)*(2 - x + 3*x^3 - 2*x^4 + 3*x^6 - 2*x^7 + x^8 + 2*x^9 - x^10) / (1 - x - x^3 - x^5 - x^8 - x^10 - 2*x^12 + 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
..0....1....0....1....1....1....1....0....0....0....0....0....0....0....0....0
..0....0....1....0....0....0....0....0....0....1....0....1....0....1....1....0
..0....0....0....0....1....0....0....0....0....0....1....0....0....0....0....0
..0....0....1....0....0....1....0....0....1....0....0....0....1....0....0....0
..0....1....0....0....0....0....0....0....0....0....0....0....0....1....1....1
..1....0....0....0....1....1....1....0....0....0....1....1....1....0....0....0
..0....0....1....1....0....0....0....1....0....0....0....0....0....0....1....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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