A222437 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..7 array extended with zeros and convolved with 1,1,1

2, 3, 4, 5, 9, 14, 21, 35, 56, 89, 145, 234, 377, 611, 988, 1597, 2585, 4182, 6765, 10947, 17712, 28657, 46368, 75024, 121390, 196411, 317797, 514202, 831988, 1346174, 2178136, 3524267, 5702335, 9226492, 14928648, 24154852, 39083034, 63237131

Offset

1,1

Comments

Column 7 of A222438

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-4) -a(n-6) +2*a(n-7) -a(n-8) +a(n-10) -a(n-12) +2*a(n-13) -a(n-14) +a(n-16) -a(n-18) +2*a(n-19) -a(n-20) +2*a(n-22) -3*a(n-23) +2*a(n-24) -a(n-25) -a(n-27) +2*a(n-28) -3*a(n-29) +2*a(n-30) -a(n-31) -a(n-33) +2*a(n-34) -3*a(n-35) +2*a(n-36) -a(n-37) -a(n-39) +2*a(n-40) -3*a(n-41) +2*a(n-42) -a(n-43) for n>89

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
..0....1....0....0....1....1....0....0....0....0....0....0....0....1....0....1
..0....0....1....0....0....0....0....1....0....0....0....0....0....0....1....0
..0....0....0....1....0....1....0....0....1....0....0....0....1....0....0....1
..1....0....0....0....1....0....0....0....0....0....0....0....0....0....1....0
..0....1....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....0....1....0....0
..0....0....0....0....0....0....0....1....1....0....1....0....0....0....0....0

Crossrefs

Sequence in context: A222434 A222435 A222436 * A060732 A068584 A107799

Adjacent sequences: A222434 A222435 A222436 * A222438 A222439 A222440

Keyword

nonn

Author

R. H. Hardin Feb 20 2013

Status

approved