

A222333


Number of binary arrays indicating the locations of trailing edge maxima of a random lengthn 0..7 array extended with zeros and convolved with 1,1.


2



2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2206, 3569, 5773, 9339, 15108, 24440, 39537, 63959, 103467, 167379, 270770, 438026, 708597, 1146301, 1854377, 2999835, 4852848, 7850477, 12699756, 20544460, 33234877, 53764229
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OFFSET

1,1


COMMENTS

Column 7 of A222334.


LINKS

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


FORMULA

Empirical: a(n) = a(n1) + a(n3) + a(n5) + a(n7) + a(n9) + a(n11) + a(n13) + a(n15).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + x^14) / (1  x  x^3  x^5  x^7  x^9  x^11  x^13  x^15).  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....0....1....1....0....1....0....0....0....0....0....0....0....1....1....0
..0....0....0....0....0....0....0....0....1....0....1....1....1....0....0....0
..1....0....1....1....1....0....0....0....0....0....0....0....0....0....0....1
..0....1....0....0....0....0....0....0....0....0....0....1....0....0....0....0
..1....0....0....1....0....0....0....1....0....0....0....0....1....0....1....0
..0....0....0....0....0....0....1....0....0....0....1....0....0....1....0....1


CROSSREFS

Cf. A222334.
Sequence in context: A222330 A222331 A222332 * A080023 A169985 A254729
Adjacent sequences: A222330 A222331 A222332 * A222334 A222335 A222336


KEYWORD

nonn


AUTHOR

R. H. Hardin, Feb 15 2013


STATUS

approved



