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 downward antidiagonals.

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

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