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A222969 T(n,k)=Number of nX(k+1) 0..1 arrays with every row least squares fitting to a positive slope straight line and every column least squares fitting to a zero or positive slope straight line, with a single point array taken as having zero slope 10
1, 2, 1, 6, 3, 1, 12, 16, 6, 1, 28, 48, 96, 10, 1, 54, 185, 576, 314, 20, 1, 119, 534, 5180, 3140, 1884, 36, 1, 230, 1873, 28836, 53292, 37680, 7344, 74, 1, 488, 5397, 222887, 487830, 1492176, 264384, 46512, 137, 1, 948, 17853, 1241310, 6811479, 26342820 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.1....2.........6..........12............28.............54.............119

.1....3........16..........48...........185............534............1873

.1....6........96.........576..........5180..........28836..........222887

.1...10.......314........3140.........53292.........487830.........6811479

.1...20......1884.......37680.......1492176.......26342820.......810566001

.1...36......7344......264384......21852384......677339136.....41252032201

.1...74.....46512.....3441888.....687269268....41972251734...5815321906009

.1..137....199912....27387944...11877013537..1306606331404.370184972397123

.1..282...1281096...361269072..379255412732.82298403509112

.1..536...6018524..3225928864.7601814965106

.1.1100..38837844.42721628400

.1.2117.192182076

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..111

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 2 is A222855

Row 2 is A222843

Sequence in context: A142977 A120108 A060556 * A132813 A034898 A059300

Adjacent sequences:  A222966 A222967 A222968 * A222970 A222971 A222972

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 10 2013

STATUS

approved

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Last modified March 18 16:00 EDT 2019. Contains 321292 sequences. (Running on oeis4.)