login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A222329 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,1. 2
2, 3, 4, 7, 11, 18, 29, 46, 74, 118, 189, 303, 485, 777, 1244, 1992, 3190, 5108, 8180, 13099, 20976, 33590, 53789, 86135, 137932, 220877, 353701, 566398, 907000, 1452422, 2325832, 3724465, 5964162, 9550695, 15293980, 24490974, 39218556 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A222334.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7).

Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6) / (1 - x - x^3 - x^5 - x^7). - Colin Barker, Mar 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

..0....1....0....1....1....1....1....0....0....0....0....0....0....1....0....0

..0....0....0....0....0....0....0....0....1....0....1....0....1....0....1....0

..0....1....1....1....0....0....0....0....0....1....0....1....0....0....0....0

..1....0....0....0....0....1....0....0....0....0....1....0....0....0....0....0

..0....1....0....0....0....0....1....0....0....1....0....0....1....0....0....0

..0....0....1....1....0....0....0....0....0....0....0....0....0....1....1....1

CROSSREFS

Cf. A222334.

Sequence in context: A060987 A006259 A119015 * A018145 A050195 A293638

Adjacent sequences:  A222326 A222327 A222328 * A222330 A222331 A222332

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 15 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 15 10:54 EDT 2021. Contains 343909 sequences. (Running on oeis4.)