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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. 5
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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

LINKS

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

EXAMPLE

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

CROSSREFS

Column 1 is A000142.

Row 2 is A059570(n+1).

Sequence in context: A052296 A019538 A269646 * A300700 A046521 A104684

Adjacent sequences:  A269333 A269334 A269335 * A269337 A269338 A269339

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 24 2016

STATUS

approved

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Last modified October 22 18:55 EDT 2018. Contains 316500 sequences. (Running on oeis4.)