A223309 T(n,k)=Number of nX(k+1) 0..2 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

3, 9, 6, 36, 36, 18, 102, 340, 324, 41, 343, 1914, 12240, 1845, 123, 996, 13850, 195228, 221346, 17343, 310, 3159, 79266, 4750550, 8514450, 8909352, 119660, 957, 9237, 523133, 78948936, 576481773, 1004831988, 221358126, 1139787, 2530, 28755

Offset

1,1

Comments

Table starts

....3.......9.........36.........102..........343............996..........3159

....6......36........340........1914........13850..........79266........523133

...18.....324......12240......195228......4750550.......78948936....1652577147

...41....1845.....221346.....8514450....576481773....23314034430.1290079956663

..123...17343....8909352..1004831988.241636868781.29530598586528

..310..119660..221358126.65367672572

..957.1139787.8788947912

.2530.8607060

.7848

Links

R. H. Hardin, Table of n, a(n) for n = 1..50

Example

Some solutions for n=3 k=4
..2..0..0..1..2....0..0..1..0..1....0..0..0..0..1....0..0..0..0..1
..1..2..2..2..2....0..1..1..1..2....1..0..1..2..1....0..0..0..1..1
..2..0..1..1..2....1..0..2..0..2....0..1..1..2..1....0..1..0..1..2

Crossrefs

Column 1 is A222856

Row 2 is A222925

Sequence in context: A224190 A223815 A275414 * A179483 A346108 A271879

Adjacent sequences: A223306 A223307 A223308 * A223310 A223311 A223312

Keyword

nonn,tabl

Author

R. H. Hardin Mar 19 2013

Status

approved