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A222330 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,1. 1
2, 3, 4, 7, 11, 18, 29, 47, 76, 122, 197, 317, 511, 824, 1328, 2141, 3451, 5563, 8967, 14454, 23299, 37556, 60538, 97583, 157297, 253552, 408708, 658809, 1061954, 1711796, 2759296, 4447793, 7169533, 11556788, 18628738, 30028229, 48403415 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 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).

Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8) / (1 - x - x^3 - x^5 - x^7 - x^9). - 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

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

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

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

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

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

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

CROSSREFS

Cf. A222334.

Sequence in context: A018145 A050195 A293638 * A222331 A222332 A222333

Adjacent sequences:  A222327 A222328 A222329 * A222331 A222332 A222333

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 15 2013

STATUS

approved

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Last modified June 18 07:25 EDT 2021. Contains 345098 sequences. (Running on oeis4.)