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A222125
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.
1
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
OFFSET
1,1
COMMENTS
Column 6 of A222127.
LINKS
FORMULA
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
EXAMPLE
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
CROSSREFS
Cf. A222127.
Sequence in context: A355958 A222123 A222124 * A222126 A004045 A060200
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 08 2013
STATUS
approved