A222027 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 1,3,3,1

2, 2, 3, 2, 3, 4, 2, 3, 4, 6, 2, 3, 4, 6, 9, 2, 3, 4, 7, 10, 13, 2, 3, 4, 7, 11, 15, 19, 2, 3, 4, 7, 11, 16, 23, 28, 2, 3, 4, 7, 11, 16, 26, 36, 41, 2, 3, 4, 7, 11, 17, 26, 41, 55, 60, 2, 3, 4, 7, 11, 17, 28, 42, 62, 84, 88, 2, 3, 4, 7, 11, 17, 28, 44, 65, 99, 129, 129, 2, 3, 4, 7, 11, 17, 28, 44, 70

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

...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

...6...6...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7...7

...9..10..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11..11

..13..15..16..16..17..17..17..17..17..17..17..17..17..17..17..17..17..17..17

..19..23..26..26..28..28..28..28..28..28..28..28..28..28..28..28..28..28..28

..28..36..41..42..44..44..44..44..44..44..44..44..44..45..45..45..45..45..45

..41..55..62..65..70..70..70..70..70..70..72..72..72..72..72..72..72..72..72

..60..84..99.105.113.113.114.114.114.114.116.116.116.116.116.116.116.116.116

..88.129.156.168.179.179.181.182.182.182.186.186.186.187.187.187.187.189.189

.129.198.242.265.286.287.290.293.293.293.302.302.302.302.302.302.302.304.304

Links

R. H. Hardin, Table of n, a(n) for n = 1..962

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

Crossrefs

Column 1 is A000930(n+2)

Sequence in context: A131818 A222111 A222438 * A222127 A221999 A222334

Adjacent sequences: A222024 A222025 A222026 * A222028 A222029 A222030

Keyword

nonn,tabl

Author

R. H. Hardin Feb 05 2013

Status

approved