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A269646 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and equal-up in every column. 4
1, 1, 2, 1, 6, 6, 1, 14, 74, 24, 1, 34, 574, 1880, 120, 1, 92, 4564, 68876, 80316, 720, 1, 258, 41526, 2316638, 18375702, 5141864, 5040, 1, 722, 419516, 94747953, 3291772332, 9213264418, 458608016, 40320, 1, 2022, 4351224, 4581555620 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

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

......2...........6............14.............34...........92........258

......6..........74...........574...........4564........41526.....419516

.....24........1880.........68876........2316638.....94747953.4581555620

....120.......80316......18375702.....3291772332.740782304804

....720.....5141864....9213264418.10673009972228

...5040...458608016.7725775442284

..40320.54247835568

.362880

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..49

EXAMPLE

Some solutions for n=3 k=4

..1..1..0..0. .1..1..2..1. .0..2..2..2. .0..1..2..2. .2..2..1..1

..2..2..2..1. .2..0..0..2. .1..2..1..1. .1..2..1..0. .1..0..0..2

..2..0..0..1. .2..1..0..0. .1..0..0..0. .2..1..0..0. .1..2..0..0

CROSSREFS

Column 1 is A000142.

Column 2 is A269334.

Row 2 is A269506.

Sequence in context: A089231 A052296 A019538 * A269336 A300700 A046521

Adjacent sequences:  A269643 A269644 A269645 * A269647 A269648 A269649

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 02 2016

STATUS

approved

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Last modified October 16 12:35 EDT 2018. Contains 316263 sequences. (Running on oeis4.)