

A222036


Number of binary arrays indicating the locations of trailing edge maxima of a random lengthn 0..1 array extended with zeros and convolved with 1,2,1.


2



2, 4, 7, 12, 20, 33, 53, 85, 137, 221, 355, 570, 915, 1468, 2353, 3772, 6049, 9703, 15565, 24972, 40068, 64291, 103155, 165512, 265564, 426096, 683664, 1096928, 1760005, 2823900, 4530894, 7269730, 11664136, 18714867, 30027612, 48178679, 77301700
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Column 1 of A222043.


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210


FORMULA

Empirical: a(n) = 2*a(n1)  a(n3)  a(n5) + a(n6) + a(n7) + a(n8)  2*a(n9)  a(n10) + a(n11) + a(n12).
Empirical g.f.: x*(2  x^2 + 2*x^5 + x^6  x^8 + x^9 + 2*x^10 + x^11) / (1  2*x + x^3 + x^5  x^6  x^7  x^8 + 2*x^9 + x^10  x^11  x^12).  Colin Barker, Mar 14 2018


EXAMPLE

Some solutions for n=7, one extended zero followed by filtered positions:
..1....0....0....1....0....0....1....0....1....1....1....1....0....1....0....0
..0....0....0....0....0....0....0....1....0....0....0....0....1....0....1....0
..1....1....0....1....1....0....1....0....1....1....1....0....0....1....0....1
..0....0....1....0....0....0....0....1....0....0....0....1....0....0....0....0
..1....1....0....1....1....1....1....0....0....0....0....0....1....0....1....0
..0....0....0....0....0....0....0....0....0....0....0....1....0....0....0....1
..1....1....1....0....0....1....0....0....0....0....1....0....1....0....0....0
..0....0....0....0....1....0....0....0....0....1....0....1....0....0....0....1
..0....1....0....1....0....1....0....1....0....0....1....0....1....1....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0


CROSSREFS

Cf. A222043.
Sequence in context: A289115 A126348 A006731 * A000071 A179111 A093607
Adjacent sequences: A222033 A222034 A222035 * A222037 A222038 A222039


KEYWORD

nonn


AUTHOR

R. H. Hardin, Feb 06 2013


STATUS

approved



