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A222332
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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 1,1.
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1
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2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 842, 1362, 2202, 3561, 5759, 9313, 15061, 24356, 39388, 63697, 103009, 166583, 269393, 435654, 704526, 1139338, 1842502, 2979638, 4818579, 7792458, 12601724, 20379121, 32956489, 53296222
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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-7) + a(n-9) + a(n-11) + a(n-13).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11 - x^13). - Colin Barker, Aug 16 2018
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EXAMPLE
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Some solutions for n=6, 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....0....0....1....1....0....0....0....0....1....0....1....1....0
..0....0....0....0....1....0....0....0....0....1....0....0....1....0....0....1
..1....1....1....0....0....0....0....0....0....0....1....1....0....0....1....0
..0....0....0....0....0....0....0....1....0....1....0....0....0....0....0....0
..1....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....1....1....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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