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A222333 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..7 array extended with zeros and convolved with 1,1. 2
2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2206, 3569, 5773, 9339, 15108, 24440, 39537, 63959, 103467, 167379, 270770, 438026, 708597, 1146301, 1854377, 2999835, 4852848, 7850477, 12699756, 20544460, 33234877, 53764229 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 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) + a(n-9) + a(n-11) + a(n-13) + a(n-15).

Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + x^14) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11 - x^13 - x^15). - 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....0....1....1....0....1....0....0....0....0....0....0....0....1....1....0

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

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

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

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

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

CROSSREFS

Cf. A222334.

Sequence in context: A222330 A222331 A222332 * A080023 A169985 A254729

Adjacent sequences:  A222330 A222331 A222332 * A222334 A222335 A222336

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 15 2013

STATUS

approved

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Last modified July 29 11:53 EDT 2021. Contains 346346 sequences. (Running on oeis4.)