A222111 T(n,k)=Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..k array extended with zeros and convolved with 1,2,2,1

2, 2, 3, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 7, 2, 3, 4, 5, 8, 10, 2, 3, 4, 5, 8, 12, 14, 2, 3, 4, 5, 8, 13, 17, 19, 2, 3, 4, 5, 8, 13, 19, 24, 26, 2, 3, 4, 5, 8, 13, 19, 30, 36, 36, 2, 3, 4, 5, 8, 13, 19, 31, 48, 53, 50, 2, 3, 4, 5, 8, 13, 19, 31, 50, 75, 76, 69, 2, 3, 4, 5, 8, 13, 19, 31, 50, 80, 116

Offset

1,1

Comments

Table starts

..2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2...2

..3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3...3

..4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4...4

..5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5...5

..7...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8...8

.10..12..13..13..13..13..13..13..13..13..13..13..13..13..13..13..13..13..13..13

.14..17..19..19..19..19..19..19..19..19..19..19..19..19..19..19..19..19..19..19

.19..24..30..31..31..31..31..31..31..31..31..31..31..31..31..31..31..31..31..31

.26..36..48..50..50..50..50..50..50..50..50..50..50..50..50..50..50..50..50..50

.36..53..75..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80

.50..76.116.129.130.130.130.130.130.130.130.130.130.130.130.130.130.130.130.130

.69.109.186.205.208.210.210.210.210.210.210.210.210.210.210.210.210.210.210.210

Links

R. H. Hardin, Table of n, a(n) for n = 1..841

Example

Some solutions for n=7 k=4, 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....0....0....0....0....0....0....0....1....1....0....1....0....1....0....0
..0....1....1....0....0....0....0....0....0....0....1....0....0....0....0....0
..0....0....0....1....0....0....0....1....0....0....0....0....1....0....1....0
..1....0....0....0....0....0....0....0....0....0....1....1....0....0....0....0
..0....0....1....0....0....0....0....0....0....0....0....0....1....1....0....1
..0....1....0....0....0....1....0....0....0....0....0....0....0....0....1....0
..0....0....0....0....1....0....0....1....0....1....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

Crossrefs

Column 1 is A003269(n+4)

Sequence in context: A104324 A193212 A131818 * A222438 A222027 A222127

Adjacent sequences: A222108 A222109 A222110 * A222112 A222113 A222114

Keyword

nonn,tabl

Author

R. H. Hardin Feb 07 2013

Status

approved