A265005 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with rows and columns nondecreasing.

1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 3, 7, 9, 1, 1, 3, 14, 29, 21, 1, 1, 4, 21, 112, 140, 51, 1, 1, 4, 41, 261, 1095, 758, 127, 1, 1, 5, 54, 846, 4919, 13009, 4448, 323, 1, 1, 5, 86, 1720, 27000, 120096, 175865, 27782, 835, 1, 1, 6, 120, 4193, 97341, 1268728, 3558888, 2647438

Offset: 1

Author

R. H. Hardin, Nov 29 2015

Keywords

• nonn
• tabl

Comments

Table starts

.1....1.......1.........1............1..............1..............1

.1....2.......2.........3............3..............4..............4

.1....4.......7........14...........21.............41.............54

.1....9......29.......112..........261............846...........1720

.1...21.....140......1095.........4919..........27000..........97341

.1...51.....758.....13009.......120096........1268728........8360853

.1..127....4448....175865......3558888.......76714325.....1001060834

.1..323...27782...2647438....123026475.....5732148226...155796077603

.1..835..182322..43347498...4817478608...507120480166.30055866217955

.1.2188.1245399.760869739.209081118730.51689513352516

Examples

			Some solutions for n=4 k=4
..0..0..1..1....0..0..2..2....0..0..0..1....0..0..1..2....0..0..0..2
..0..1..2..3....0..0..2..2....0..1..2..2....0..1..2..2....0..1..2..3
..0..1..2..3....1..1..3..3....1..1..2..2....0..1..2..3....1..1..2..3
..2..2..3..3....1..1..3..3....3..3..3..3....1..3..3..3....1..2..3..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..128

Crossrefs

Column 2 is A001006.

Row 2 is A004526(n+2).

Row 3 is A201272.

Row 4 is A201447.

Row 5 is A200987.

Row 7 is A201071.