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

1,5

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

Links

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

Example

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

Crossrefs

Row 2 is A126869.

Row 3 is A002898.

Sequence in context: A137525 A166335 A109187 * A166357 A067147 A112227

Adjacent sequences: A265086 A265087 A265088 * A265090 A265091 A265092

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2015

Status

approved