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A222969 Table T(n,k) is the number of n X (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, read by antidiagonals downward. 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: A120108 A350292 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 September 27 06:29 EDT 2022. Contains 357052 sequences. (Running on oeis4.)