A222331 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 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

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(n-1) + a(n-3) + a(n-5) + a(n-7) + a(n-9) + a(n-11).

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