A268367 T(n,k) = Number of n X k arrays containing k copies of 0..n-1 with row sums equal.

1, 1, 0, 1, 4, 0, 1, 0, 12, 0, 1, 36, 216, 96, 0, 1, 0, 2700, 0, 480, 0, 1, 400, 54000, 643680, 116640, 5760, 0, 1, 0, 1054200, 0, 190188000, 0, 40320, 0, 1, 4900, 20991600, 12243840000, 269568000000, 128247235200, 535610880, 645120, 0, 1, 0, 445365900

Offset

1,5

Comments

Table starts

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

.0.......4.........0..............36............0.............400........0

.0......12.......216............2700........54000.........1054200.20991600

.0......96.........0..........643680............0.....12243840000........0

.0.....480....116640.......190188000.269568000000.429355384500000

.0....5760.........0....128247235200............0

.0...40320.535610880.114921318153600

.0..645120.........0

.0.5806080

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Sequence in context: A271424 A117435 A282252 * A117436 A136448 A166318

Adjacent sequences: A268364 A268365 A268366 * A268368 A268369 A268370

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 03 2016

Status

approved