A201700 T(n,k)=Number of nXk 0..2 arrays with rows and columns lexicographically nondecreasing read forwards and nonincreasing read backwards.

3, 3, 3, 3, 10, 3, 3, 18, 18, 3, 3, 27, 116, 27, 3, 3, 37, 395, 395, 37, 3, 3, 48, 989, 4998, 989, 48, 3, 3, 60, 2068, 35390, 35390, 2068, 60, 3, 3, 73, 3838, 167625, 930564, 167625, 3838, 73, 3, 3, 87, 6541, 607919, 14268351, 14268351, 607919, 6541, 87, 3, 3, 102

Offset

1,1

Comments

Table starts

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

.3..10....18.......27..........37.............48..............60

.3..18...116......395.........989...........2068............3838

.3..27...395.....4998.......35390.........167625..........607919

.3..37...989....35390......930564.......14268351.......142436489

.3..48..2068...167625....14268351......795339012.....27102769900

.3..60..3838...607919...142436489....27102769900...3262897246338

.3..73..6541..1826778..1034563890...615440785548.253484699853930

.3..87.10455..4775228..5898023820.10106227864338

.3.102.15894.11211034.27803725006

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

Some solutions for n=5 k=3
..0..0..2....0..0..2....0..2..2....0..1..2....0..1..2....0..2..2....0..1..2
..0..2..1....0..0..2....0..2..2....1..0..2....1..0..1....0..2..2....0..2..0
..2..0..1....0..1..0....2..1..2....1..0..2....1..0..1....1..0..2....0..2..0
..2..0..1....1..0..0....2..1..2....1..0..2....1..0..1....1..1..0....1..1..0
..2..2..0....1..0..0....2..2..1....2..2..1....1..1..0....2..0..0....2..0..0

Crossrefs

Column 2 is A051938(n+5)

Sequence in context: A161836 A087576 A337328 * A379973 A087575 A001270

Adjacent sequences: A201697 A201698 A201699 * A201701 A201702 A201703

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2011

Status

approved