A269336 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern equal-up in every row and column.

1, 1, 2, 1, 6, 6, 1, 14, 74, 24, 1, 34, 852, 1880, 120, 1, 78, 10210, 152922, 80316, 720, 1, 178, 124466, 13745475, 62038644, 5141864, 5040, 1, 398, 1539739, 1301306034, 55575194220, 47286888510, 458608016, 40320, 1, 882, 19271229, 128342085219

Offset: 1

Author

R. H. Hardin, Feb 24 2016

Keywords

• nonn
• tabl

Comments

Table starts

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

.....2.........6..........14..........34.............78..........178......398

.....6........74.........852.......10210.........124466......1539739.19271229

....24......1880......152922....13745475.....1301306034.128342085219

...120.....80316....62038644.55575194220.54180777470296

...720...5141864.47286888510

..5040.458608016

.40320

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..41

Crossrefs

Column 1 is A000142.

Row 2 is A059570(n+1).