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A222431 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..1 array extended with zeros and convolved with 1,1,1. 1
2, 3, 4, 5, 8, 12, 18, 26, 40, 60, 90, 134, 202, 303, 454, 680, 1021, 1532, 2298, 3447, 5173, 7762, 11646, 17473, 26218, 39338, 59023, 88558, 132875, 199368, 299135, 448827, 673430, 1010428, 1516066, 2274735, 3413059, 5121022, 7683683, 11528750 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A222438.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) - a(n-2) + 2*a(n-4) - 3*a(n-5) + a(n-6) + a(n-7) - 2*a(n-8) + 2*a(n-9) - a(n-11) + a(n-12) - a(n-13).

Empirical g.f.: x*(2 - x - 2*x^4 + x^5 + x^6 - x^7 + 2*x^8 - x^9 - x^10 - x^12) / ((1 - x)*(1 + x)*(1 + x^2)*(1 - 2*x + x^2 - x^4 + x^5 - x^7 + x^8 - x^9)). - Colin Barker, Aug 16 2018

EXAMPLE

Some solutions for n=7, 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....0....0....0....0....0....0....0....0....0....0....0....0....0....0

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

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

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

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

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

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

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

CROSSREFS

Cf. A222438.

Sequence in context: A222105 A018059 A291295 * A291297 A347333 A050024

Adjacent sequences:  A222428 A222429 A222430 * A222432 A222433 A222434

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 20 2013

STATUS

approved

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Last modified October 26 22:06 EDT 2021. Contains 348269 sequences. (Running on oeis4.)