A265089 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with row sums equal and column sums equal.

1, 1, 0, 1, 2, 0, 1, 0, 6, 0, 1, 6, 12, 24, 0, 1, 0, 90, 0, 120, 0, 1, 20, 360, 4464, 1080, 720, 0, 1, 0, 2040, 0, 493920, 0, 6300, 0, 1, 70, 10080, 2850360, 75502080, 128269440, 3135720, 45360, 0, 1, 0, 54810, 0, 16074373800, 0, 57943903500, 0, 589680, 0, 1, 252

Offset: 1

Author

R. H. Hardin, Dec 01 2015

Keywords

• nonn
• tabl

Comments

Table starts

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

.0......2.......0...........6........0..........20.............0.........70

.0......6......12..........90......360........2040.........10080......54810

.0.....24.......0........4464........0.....2850360.............0.2645541360

.0....120....1080......493920.75502080.16074373800.3565914584400

.0....720.......0...128269440........0

.0...6300.3135720.57943903500

.0..45360.......0

.0.589680

.0

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60

Crossrefs

Row 2 is A126869.

Row 3 is A002898.