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

Author

R. H. Hardin, Feb 03 2016

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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