

A222331


Number of binary arrays indicating the locations of trailing edge maxima of a random lengthn 0..5 array extended with zeros and convolved with 1,1.


1



2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 321, 519, 838, 1354, 2188, 3535, 5712, 9229, 14912, 24094, 38930, 62901, 101632, 164212, 265325, 428699, 692670, 1119181, 1808316, 2921785, 4720872, 7627745, 12324523, 19913338, 32174960, 51986666
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OFFSET

1,1


COMMENTS

Column 5 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).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10) / (1  x  x^3  x^5  x^7  x^9  x^11).  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
..0....1....0....1....1....1....0....0....0....0....0....0....1....1....1....0
..1....0....1....0....0....0....0....0....0....1....0....0....0....0....0....0
..0....1....0....1....0....0....0....1....1....0....0....1....0....1....0....0
..0....0....1....0....1....0....0....0....0....0....1....0....0....0....0....0
..0....1....0....0....0....1....0....0....1....1....0....0....0....0....0....1
..0....0....0....1....0....0....0....1....0....0....0....0....0....0....1....0


CROSSREFS

Cf. A222334.
Sequence in context: A050195 A293638 A222330 * A222332 A222333 A080023
Adjacent sequences: A222328 A222329 A222330 * A222332 A222333 A222334


KEYWORD

nonn


AUTHOR

R. H. Hardin, Feb 15 2013


STATUS

approved



