A222153 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,-2,1

2, 2, 4, 2, 4, 7, 2, 4, 8, 12, 2, 4, 8, 15, 20, 2, 4, 8, 15, 26, 33, 2, 4, 8, 15, 27, 44, 53, 2, 4, 8, 15, 27, 47, 74, 85, 2, 4, 8, 15, 27, 47, 79, 124, 137, 2, 4, 8, 15, 27, 47, 80, 131, 207, 221, 2, 4, 8, 15, 27, 47, 80, 134, 216, 343, 355, 2, 4, 8, 15, 27, 47, 80, 134, 221, 355, 564, 570

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

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

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

..12..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15..15

..20..26..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27..27

..33..44..47..47..47..47..47..47..47..47..47..47..47..47..47..47..47..47..47

..53..74..79..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80..80

..85.124.131.134.134.134.134.134.134.134.134.134.134.134.134.134.134.134.134

.137.207.216.221.222.222.222.222.222.222.222.222.222.222.222.222.222.222.222

.221.343.355.362.365.365.365.365.365.365.365.365.365.365.365.365.365.365.365

.355.564.582.591.596.597.597.597.597.597.597.597.597.597.597.597.597.597.597

.570.924.952.963.970.973.973.973.973.973.973.973.973.973.973.973.973.973.973

Links

R. H. Hardin, Table of n, a(n) for n = 1..4881

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

Crossrefs

Column 1 is A222036

Sequence in context: A219433 A274879 A222043 * A219403 A219451 A097800

Adjacent sequences: A222150 A222151 A222152 * A222154 A222155 A222156

Keyword

nonn,tabl

Author

R. H. Hardin Feb 09 2013

Status

approved