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A222862 T(n,k)=Number of nXk 0..1 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope 9
2, 3, 3, 6, 6, 6, 10, 18, 18, 10, 20, 41, 108, 41, 20, 36, 123, 410, 410, 123, 36, 74, 310, 2460, 2262, 2460, 310, 74, 137, 957, 11160, 22620, 22620, 11160, 957, 137, 282, 2530, 70818, 156436, 452400, 156436, 70818, 2530, 282, 536, 7848, 346610, 1672630 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....2......3.........6...........10.............20..............36

....3......6........18...........41............123.............310

....6.....18.......108..........410...........2460...........11160

...10.....41.......410.........2262..........22620..........156436

...20....123......2460........22620.........452400.........5631696

...36....310.....11160.......156436........5631696.......113936464

...74....957.....70818......1672630......123774620......4591340316

..137...2530....346610.....12777951.....1750579287....108296570876

..282...7848...2213136....137893630....38886003660...4422968648712

..536..21618..11587248...1149894920...616343677120.119741989131520

.1100..67131..73844100..12404839040.13645322944000

.2117.188835.399763695.108106327001

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

EXAMPLE

Some solutions for n=3 k=4

..0..0..0..0....0..0..0..1....0..1..1..1....0..0..0..0....0..0..1..0

..0..0..1..0....0..1..1..1....0..1..1..1....0..1..0..1....0..1..0..1

..0..1..1..1....0..0..0..1....0..1..1..1....0..1..1..1....0..0..1..1

CROSSREFS

Sequence in context: A212629 A127779 A207634 * A101437 A039856 A301703

Adjacent sequences:  A222859 A222860 A222861 * A222863 A222864 A222865

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 07 2013

STATUS

approved

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Last modified March 26 21:10 EDT 2019. Contains 321553 sequences. (Running on oeis4.)