A222330 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,1.

2, 3, 4, 7, 11, 18, 29, 47, 76, 122, 197, 317, 511, 824, 1328, 2141, 3451, 5563, 8967, 14454, 23299, 37556, 60538, 97583, 157297, 253552, 408708, 658809, 1061954, 1711796, 2759296, 4447793, 7169533, 11556788, 18628738, 30028229, 48403415

Offset

1,1

Comments

Column 4 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).

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

Crossrefs

Cf. A222334.

Sequence in context: A018145 A050195 A293638 * A222331 A222332 A222333

Adjacent sequences: A222327 A222328 A222329 * A222331 A222332 A222333

Keyword

nonn

Author

R. H. Hardin, Feb 15 2013

Status

approved