A201432 T(n,k)=Number of nXk 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other

3, 3, 3, 1, 11, 1, 3, 13, 13, 3, 3, 76, 99, 76, 3, 1, 160, 622, 622, 160, 1, 3, 111, 3406, 33740, 3406, 111, 3, 3, 560, 16399, 561271, 561271, 16399, 560, 3, 1, 955, 70192, 2740779, 28384610, 2740779, 70192, 955, 1, 3, 539, 272801, 96745050, 416592852

Offset

1,1

Comments

Table starts

.3....3.......1...........3..............3...............1................3

.3...11......13..........76............160.............111..............560

.1...13......99.........622...........3406...........16399............70192

.3...76.....622.......33740.........561271.........2740779.........96745050

.3..160....3406......561271.......28384610.......416592852......44447452442

.1..111...16399.....2740779......416592852.....54217235230....6052024146349

.3..560...70192....96745050....44447452442...6052024146349.6095310292410589

.3..955..272801..1042095316..1424312724034.587944908602174

.1..539..974066..3442865393.13770911283918

.3.2447.3232454.88529711419

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

Some solutions for n=3 k=7
..0..0..1..2..2..2..2....0..1..1..2..2..2..2....0..0..1..1..1..1..2
..0..1..2..1..1..1..1....1..0..1..0..0..1..2....0..1..0..1..2..2..2
..0..2..2..0..0..0..1....1..1..2..0..0..2..0....0..1..0..2..2..2..0

Crossrefs

Sequence in context: A304586 A155969 A076237 * A128210 A215409 A239232

Adjacent sequences: A201429 A201430 A201431 * A201433 A201434 A201435

Keyword

nonn,tabl

Author

R. H. Hardin Dec 01 2011

Status

approved