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A222330
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.
1
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
OFFSET
1,1
COMMENTS
Column 4 of A222334.
LINKS
FORMULA
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
EXAMPLE
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
CROSSREFS
Cf. A222334.
Sequence in context: A018145 A050195 A293638 * A222331 A222332 A222333
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 15 2013
STATUS
approved