A222438 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 1,1,1

2, 2, 3, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 8, 2, 3, 4, 5, 9, 12, 2, 3, 4, 5, 9, 14, 18, 2, 3, 4, 5, 9, 14, 21, 26, 2, 3, 4, 5, 9, 14, 21, 34, 40, 2, 3, 4, 5, 9, 14, 21, 35, 54, 60, 2, 3, 4, 5, 9, 14, 21, 35, 56, 86, 90, 2, 3, 4, 5, 9, 14, 21, 35, 56, 89, 137, 134, 2, 3, 4, 5, 9, 14, 21, 35, 56, 89, 144

Offset

1,1

Comments

Table starts

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

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

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

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

....8....9.....9.....9.....9.....9.....9.....9

...12...14....14....14....14....14....14....14

...18...21....21....21....21....21....21....21

...26...34....35....35....35....35....35....35

...40...54....56....56....56....56....56....56

...60...86....89....89....89....89....89....89

...90..137...144...145...145...145...145...145

..134..219...232...234...234...234...234...234

..202..350...374...377...377...377...377...377

..303..558...603...610...611...611...611...611

..454..892...973...986...988...988...988...988

..680.1424..1570..1594..1597..1597..1597..1597

.1021.2273..2532..2577..2584..2585..2585..2585

.1532.3631..4086..4167..4180..4182..4182..4182

.2298.5799..6592..6738..6762..6765..6765..6765

.3447.9261.10635.10894.10939.10946.10947.10947

Links

R. H. Hardin, Table of n, a(n) for n = 1..3855

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

Crossrefs

Sequence in context: A193212 A131818 A222111 * A222027 A222127 A221999

Adjacent sequences: A222435 A222436 A222437 * A222439 A222440 A222441

Keyword

nonn,tabl

Author

R. H. Hardin Feb 20 2013

Status

approved