A221438 T(n,k)=Number of nXk 1..(max n,k) arrays with each row and column having unrepeated values

1, 2, 2, 6, 2, 6, 24, 12, 12, 24, 120, 216, 12, 216, 120, 720, 5280, 576, 576, 5280, 720, 5040, 190800, 66240, 576, 66240, 190800, 5040, 40320, 9344160, 15321600, 161280, 161280, 15321600, 9344160, 40320, 362880, 598066560, 5411750400, 283046400

Offset

1,2

Comments

Table starts

....1.......2..........6...........24............120............720

....2.......2.........12..........216...........5280.........190800

....6......12.........12..........576..........66240.......15321600

...24.....216........576..........576.........161280......283046400

..120....5280......66240.......161280.........161280......812851200

..720..190800...15321600....283046400......812851200......812851200

.5040.9344160.5411750400.782137036800.20449013760000.61479419904000

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

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

Crossrefs

Diagonal is A002860

Column 1 is A000142

Column 2 is A082491

Sequence in context: A257251 A068555 A167556 * A327991 A193322 A165460

Adjacent sequences: A221435 A221436 A221437 * A221439 A221440 A221441

Keyword

nonn,tabl

Author

R. H. Hardin Jan 16 2013

Status

approved