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A222332 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 1,1. 1
2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 842, 1362, 2202, 3561, 5759, 9313, 15061, 24356, 39388, 63697, 103009, 166583, 269393, 435654, 704526, 1139338, 1842502, 2979638, 4818579, 7792458, 12601724, 20379121, 32956489, 53296222 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 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).

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) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11 - x^13). - Colin Barker, Aug 16 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....0....0....1....1....0....0....0....0....1....0....1....1....0

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

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

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

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

CROSSREFS

Cf. A222334.

Sequence in context: A293638 A222330 A222331 * A222333 A080023 A169985

Adjacent sequences:  A222329 A222330 A222331 * A222333 A222334 A222335

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 15 2013

STATUS

approved

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Last modified June 25 03:29 EDT 2021. Contains 345449 sequences. (Running on oeis4.)