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A201700 T(n,k)=Number of nXk 0..2 arrays with rows and columns lexicographically nondecreasing read forwards and nonincreasing read backwards 7
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 (list; table; graph; refs; listen; history; text; internal format)
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: A111575 A161836 A087576 * A087575 A001270 A029630

Adjacent sequences:  A201697 A201698 A201699 * A201701 A201702 A201703

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 03 2011

STATUS

approved

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Last modified September 17 09:02 EDT 2019. Contains 327128 sequences. (Running on oeis4.)