A223824 T(n,k) = Number of n X k 0..3 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope.

4, 4, 4, 16, 4, 16, 22, 16, 16, 22, 112, 22, 256, 22, 112, 172, 112, 484, 484, 112, 172, 1064, 172, 12544, 744, 12544, 172, 1064, 1742, 1064, 29584, 25080, 25080, 29584, 1064, 1742, 11664, 1742, 1132096, 45000, 6121472, 45000, 1132096, 1742, 11664

Offset

1,1

Comments

Table starts

......4......4..........16........22............112.........172............1064

......4......4..........16........22............112.........172............1064

.....16.....16.........256.......484..........12544.......29584.........1132096

.....22.....22.........484.......744..........25080.......45000.........2551604

....112....112.......12544.....25080........6121472....16748672......9452644096

....172....172.......29584.....45000.......16748672....32376064.....34078942048

...1064...1064.....1132096...2551604.....9452644096.34078942048.449530294353728

...1742...1742.....3034564...4923882....30528090112.73306891648

..11664..11664...136048896.362643556.25629932950272

..19976..19976...399040576.760921872

.138640.138640.19221049600

.243802.243802

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

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

Crossrefs

Column 2 equals column 1.

Sequence in context: A141666 A102127 A201625 * A218056 A218651 A298730

Adjacent sequences: A223821 A223822 A223823 * A223825 A223826 A223827

Keyword

nonn,tabl

Author

R. H. Hardin Mar 27 2013

Status

approved