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

Author

R. H. Hardin Dec 03 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 2 is A051938(n+5)