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A222330
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Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 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, 122, 197, 317, 511, 824, 1328, 2141, 3451, 5563, 8967, 14454, 23299, 37556, 60538, 97583, 157297, 253552, 408708, 658809, 1061954, 1711796, 2759296, 4447793, 7169533, 11556788, 18628738, 30028229, 48403415
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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).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8) / (1 - x - x^3 - x^5 - x^7 - x^9). - Colin Barker, Aug 15 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
..1....1....1....1....0....0....0....0....0....1....0....0....0....1....0....0
..0....0....0....0....1....0....0....0....0....0....1....0....1....0....1....0
..0....1....1....1....0....1....0....1....1....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....1....0....0....1....0....0....1
..1....0....1....0....1....1....0....0....0....0....0....1....0....0....0....0
..0....1....0....0....0....0....0....0....1....0....1....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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