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A222331 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,1. 1
2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 321, 519, 838, 1354, 2188, 3535, 5712, 9229, 14912, 24094, 38930, 62901, 101632, 164212, 265325, 428699, 692670, 1119181, 1808316, 2921785, 4720872, 7627745, 12324523, 19913338, 32174960, 51986666 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 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).

Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11). - Colin Barker, Aug 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....0....0....0....0....0....0....1....1....1....0

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

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

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

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

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

CROSSREFS

Cf. A222334.

Sequence in context: A050195 A293638 A222330 * A222332 A222333 A080023

Adjacent sequences:  A222328 A222329 A222330 * A222332 A222333 A222334

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 15 2013

STATUS

approved

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Last modified June 17 19:32 EDT 2021. Contains 345085 sequences. (Running on oeis4.)