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A222329
Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,1.
2
2, 3, 4, 7, 11, 18, 29, 46, 74, 118, 189, 303, 485, 777, 1244, 1992, 3190, 5108, 8180, 13099, 20976, 33590, 53789, 86135, 137932, 220877, 353701, 566398, 907000, 1452422, 2325832, 3724465, 5964162, 9550695, 15293980, 24490974, 39218556
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OFFSET
1,1
COMMENTS
Column 3 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).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6) / (1 - x - x^3 - x^5 - x^7). -
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....1....0....1....1....1....1....0....0....0....0....0....0....1....0....0
..0....0....0....0....0....0....0....0....1....0....1....0....1....0....1....0
..0....1....1....1....0....0....0....0....0....1....0....1....0....0....0....0
..1....0....0....0....0....1....0....0....0....0....1....0....0....0....0....0
..0....1....0....0....0....0....1....0....0....1....0....0....1....0....0....0
..0....0....1....1....0....0....0....0....0....0....0....0....0....1....1....1
CROSSREFS
Cf.
A222334
.
Sequence in context:
A359743
A006259
A119015
*
A018145
A050195
A293638
Adjacent sequences:
A222326
A222327
A222328
*
A222330
A222331
A222332
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Feb 15 2013
STATUS
approved
