A222434 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 1,1,1

2, 3, 4, 5, 9, 14, 21, 35, 56, 89, 145, 234, 377, 610, 986, 1594, 2577, 4167, 6738, 10894, 17616, 28484, 46057, 74473, 120420, 194714, 314846, 509094, 823186, 1331062, 2152279, 3480156, 5627286, 9099119, 14712946, 23790302, 38468059, 62201462

Offset

1,1

Comments

Column 4 of A222438

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +a(n-4) +a(n-5) -a(n-6) +a(n-7) +a(n-8) -a(n-9) +a(n-10) +a(n-11) -a(n-12) +2*a(n-13) -a(n-14) -a(n-15) +a(n-16) -a(n-17) -a(n-18) +a(n-19) -a(n-20) -a(n-21) +a(n-22) -a(n-23) -a(n-24) +a(n-25)

Example

Some solutions for n=7, 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....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....0....0....0....0....0....0....0....1....0....0....0....1....0....0
..0....0....0....0....0....0....1....1....0....0....1....0....1....0....1....0
..0....0....1....1....0....0....0....0....1....0....0....1....0....0....0....0
..0....0....0....0....1....0....0....1....0....0....0....0....0....0....0....0
..1....0....0....0....0....0....0....0....1....0....0....0....1....0....0....0
..0....0....0....1....0....0....0....0....0....1....0....0....0....0....1....0
..0....1....1....0....0....1....1....0....0....0....0....0....0....0....0....0

Crossrefs

Sequence in context: A191321 A222432 A222433 * A222435 A222436 A222437

Adjacent sequences: A222431 A222432 A222433 * A222435 A222436 A222437

Keyword

nonn

Author

R. H. Hardin Feb 20 2013

Status

approved