

A222329


Number of binary arrays indicating the locations of trailing edge maxima of a random lengthn 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



LINKS



FORMULA

Empirical: a(n) = a(n1) + a(n3) + a(n5) + a(n7).
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



KEYWORD

nonn


AUTHOR



STATUS

approved



